mirror of
https://github.com/InternLM/InternBootcamp.git
synced 2026-04-19 12:58:04 +00:00
* feat(run_eval): add checkpoint resume functionality and update example documentation; - update new bootcamp benchmark dataset * refactor(data_pipeline): optimize data generation pipeline; add multiple preset configurations for data generation * docs: update bootcamp list and add new scripts - Update Fulllist_InternBootcamp.md with new bootcamps and categories - Add new scripts to .gitignore: - examples/pipelines/filter_autogen_configs.py - examples/pipelines/quickgen_data_configs_from_eval_meta.py - Update dependencies in setup.py: - Add scipy and scikit-learn * refactor(internbootcamp): update bootcamp modules and improve error handling - Update import statements in __init__.py files - Add timestamp to target directory name in verl_data_preprocess.py - Improve error handling and scoring logic in bootcamp_judger.py - Remove unnecessary comments and update puzzle descriptions in multiple files
100 lines
49 KiB
JSON
100 lines
49 KiB
JSON
{"data_source": "KorOperationUnicode20ac", "prompt": "请计算矩阵运算A€B=2A+3B,其中:\n\n矩阵A:\n\\[\n\\begin{pmatrix}\n -8 & -1 & 16 \\\\\n 13 & 18 & 20 \\\\\n -12 & -14 & 11\n\\end{pmatrix}\n\\]\n\n矩阵B:\n\\[\n\\begin{pmatrix}\n 7 & 9 & -11 \\\\\n -7 & -4 & 3 \\\\\n 17 & 18 & -10\n\\end{pmatrix}\n\\]\n\n答案应为3x3矩阵。按照格式要求将最终答案置于双括号内:\n示例格式:[[((...,...,...),(...,...,...),(...,...,...))]]", "ground_truth": {"A": [[-8, -1, 16], [13, 18, 20], [-12, -14, 11]], "B": [[7, 9, -11], [-7, -4, 3], [17, 18, -10]]}}
|
||
{"data_source": "KorOperationUnicode20ac", "prompt": "请计算矩阵运算A€B=2A+3B,其中:\n\n矩阵A:\n\\[\n\\begin{pmatrix}\n 1 & -2 \\\\\n -2 & 10\n\\end{pmatrix}\n\\]\n\n矩阵B:\n\\[\n\\begin{pmatrix}\n 3 & 9 \\\\\n -3 & 2\n\\end{pmatrix}\n\\]\n\n答案应为2x2矩阵。按照格式要求将最终答案置于双括号内:\n示例格式:[[((...,...),(...,...))]]", "ground_truth": {"A": [[1, -2], [-2, 10]], "B": [[3, 9], [-3, 2]]}}
|
||
{"data_source": "KorOperationUnicode20ac", "prompt": "请计算矩阵运算A€B=2A+3B,其中:\n\n矩阵A:\n\\[\n\\begin{pmatrix}\n 5 & -2 \\\\\n 1 & 2\n\\end{pmatrix}\n\\]\n\n矩阵B:\n\\[\n\\begin{pmatrix}\n 9 & 10 \\\\\n 3 & 8\n\\end{pmatrix}\n\\]\n\n答案应为2x2矩阵。按照格式要求将最终答案置于双括号内:\n示例格式:[[((...,...),(...,...))]]", "ground_truth": {"A": [[5, -2], [1, 2]], "B": [[9, 10], [3, 8]]}}
|
||
{"data_source": "KorOperationUnicode20ac", "prompt": "请计算矩阵运算A€B=2A+3B,其中:\n\n矩阵A:\n\\[\n\\begin{pmatrix}\n -3 & 2 \\\\\n 10 & 6\n\\end{pmatrix}\n\\]\n\n矩阵B:\n\\[\n\\begin{pmatrix}\n -4 & -4 \\\\\n 8 & -9\n\\end{pmatrix}\n\\]\n\n答案应为2x2矩阵。按照格式要求将最终答案置于双括号内:\n示例格式:[[((...,...),(...,...))]]", "ground_truth": {"A": [[-3, 2], [10, 6]], "B": [[-4, -4], [8, -9]]}}
|
||
{"data_source": "KorOperationUnicode20ac", "prompt": "请计算矩阵运算A€B=2A+3B,其中:\n\n矩阵A:\n\\[\n\\begin{pmatrix}\n 5 & 3 & 8 \\\\\n 9 & 5 & 9\n\\end{pmatrix}\n\\]\n\n矩阵B:\n\\[\n\\begin{pmatrix}\n 9 & 1 & 9 \\\\\n 3 & 0 & 1\n\\end{pmatrix}\n\\]\n\n答案应为2x3矩阵。按照格式要求将最终答案置于双括号内:\n示例格式:[[((...,...,...),(...,...,...))]]", "ground_truth": {"A": [[5, 3, 8], [9, 5, 9]], "B": [[9, 1, 9], [3, 0, 1]]}}
|
||
{"data_source": "KorOperationUnicode20ac", "prompt": "请计算矩阵运算A€B=2A+3B,其中:\n\n矩阵A:\n\\[\n\\begin{pmatrix}\n 0 & -6 \\\\\n 3 & -8\n\\end{pmatrix}\n\\]\n\n矩阵B:\n\\[\n\\begin{pmatrix}\n -7 & -5 \\\\\n -2 & 9\n\\end{pmatrix}\n\\]\n\n答案应为2x2矩阵。按照格式要求将最终答案置于双括号内:\n示例格式:[[((...,...),(...,...))]]", "ground_truth": {"A": [[0, -6], [3, -8]], "B": [[-7, -5], [-2, 9]]}}
|
||
{"data_source": "KorOperationUnicode20ac", "prompt": "请计算矩阵运算A€B=2A+3B,其中:\n\n矩阵A:\n\\[\n\\begin{pmatrix}\n -11 & 4 & 6 \\\\\n 10 & -4 & -2 \\\\\n -10 & 11 & 1\n\\end{pmatrix}\n\\]\n\n矩阵B:\n\\[\n\\begin{pmatrix}\n 14 & 0 & 20 \\\\\n -7 & 12 & -15 \\\\\n 12 & 5 & -15\n\\end{pmatrix}\n\\]\n\n答案应为3x3矩阵。按照格式要求将最终答案置于双括号内:\n示例格式:[[((...,...,...),(...,...,...),(...,...,...))]]", "ground_truth": {"A": [[-11, 4, 6], [10, -4, -2], [-10, 11, 1]], "B": [[14, 0, 20], [-7, 12, -15], [12, 5, -15]]}}
|
||
{"data_source": "KorOperationUnicode20ac", "prompt": "请计算矩阵运算A€B=2A+3B,其中:\n\n矩阵A:\n\\[\n\\begin{pmatrix}\n 4 & -4 \\\\\n 10 & -5\n\\end{pmatrix}\n\\]\n\n矩阵B:\n\\[\n\\begin{pmatrix}\n 6 & 0 \\\\\n 7 & 1\n\\end{pmatrix}\n\\]\n\n答案应为2x2矩阵。按照格式要求将最终答案置于双括号内:\n示例格式:[[((...,...),(...,...))]]", "ground_truth": {"A": [[4, -4], [10, -5]], "B": [[6, 0], [7, 1]]}}
|
||
{"data_source": "KorOperationUnicode20ac", "prompt": "请计算矩阵运算A€B=2A+3B,其中:\n\n矩阵A:\n\\[\n\\begin{pmatrix}\n -13 & 15 & 8 \\\\\n 20 & 11 & 0 \\\\\n -6 & -10 & 5\n\\end{pmatrix}\n\\]\n\n矩阵B:\n\\[\n\\begin{pmatrix}\n -8 & 8 & -19 \\\\\n -6 & 18 & 13 \\\\\n -12 & 9 & -15\n\\end{pmatrix}\n\\]\n\n答案应为3x3矩阵。按照格式要求将最终答案置于双括号内:\n示例格式:[[((...,...,...),(...,...,...),(...,...,...))]]", "ground_truth": {"A": [[-13, 15, 8], [20, 11, 0], [-6, -10, 5]], "B": [[-8, 8, -19], [-6, 18, 13], [-12, 9, -15]]}}
|
||
{"data_source": "KorOperationUnicode20ac", "prompt": "请计算矩阵运算A€B=2A+3B,其中:\n\n矩阵A:\n\\[\n\\begin{pmatrix}\n -1 & 10 \\\\\n 8 & 4\n\\end{pmatrix}\n\\]\n\n矩阵B:\n\\[\n\\begin{pmatrix}\n -2 & 1 \\\\\n 10 & 0\n\\end{pmatrix}\n\\]\n\n答案应为2x2矩阵。按照格式要求将最终答案置于双括号内:\n示例格式:[[((...,...),(...,...))]]", "ground_truth": {"A": [[-1, 10], [8, 4]], "B": [[-2, 1], [10, 0]]}}
|
||
{"data_source": "KorOperationUnicode20ac", "prompt": "请计算矩阵运算A€B=2A+3B,其中:\n\n矩阵A:\n\\[\n\\begin{pmatrix}\n 0 & 1 \\\\\n -1 & 4\n\\end{pmatrix}\n\\]\n\n矩阵B:\n\\[\n\\begin{pmatrix}\n -3 & 1 \\\\\n 5 & 9\n\\end{pmatrix}\n\\]\n\n答案应为2x2矩阵。按照格式要求将最终答案置于双括号内:\n示例格式:[[((...,...),(...,...))]]", "ground_truth": {"A": [[0, 1], [-1, 4]], "B": [[-3, 1], [5, 9]]}}
|
||
{"data_source": "KorOperationUnicode20ac", "prompt": "请计算矩阵运算A€B=2A+3B,其中:\n\n矩阵A:\n\\[\n\\begin{pmatrix}\n 16 & 4 & -14 \\\\\n 20 & -11 & 15 \\\\\n -19 & 9 & 19\n\\end{pmatrix}\n\\]\n\n矩阵B:\n\\[\n\\begin{pmatrix}\n 10 & 4 & 15 \\\\\n -12 & 18 & -6 \\\\\n -3 & -5 & -3\n\\end{pmatrix}\n\\]\n\n答案应为3x3矩阵。按照格式要求将最终答案置于双括号内:\n示例格式:[[((...,...,...),(...,...,...),(...,...,...))]]", "ground_truth": {"A": [[16, 4, -14], [20, -11, 15], [-19, 9, 19]], "B": [[10, 4, 15], [-12, 18, -6], [-3, -5, -3]]}}
|
||
{"data_source": "KorOperationUnicode20ac", "prompt": "请计算矩阵运算A€B=2A+3B,其中:\n\n矩阵A:\n\\[\n\\begin{pmatrix}\n 9 & 8 & 9 \\\\\n 2 & 4 & 4\n\\end{pmatrix}\n\\]\n\n矩阵B:\n\\[\n\\begin{pmatrix}\n 9 & 4 & 10 \\\\\n 0 & 4 & 1\n\\end{pmatrix}\n\\]\n\n答案应为2x3矩阵。按照格式要求将最终答案置于双括号内:\n示例格式:[[((...,...,...),(...,...,...))]]", "ground_truth": {"A": [[9, 8, 9], [2, 4, 4]], "B": [[9, 4, 10], [0, 4, 1]]}}
|
||
{"data_source": "KorOperationUnicode20ac", "prompt": "请计算矩阵运算A€B=2A+3B,其中:\n\n矩阵A:\n\\[\n\\begin{pmatrix}\n 1 & 1 \\\\\n -2 & 2\n\\end{pmatrix}\n\\]\n\n矩阵B:\n\\[\n\\begin{pmatrix}\n 10 & 1 \\\\\n -1 & -1\n\\end{pmatrix}\n\\]\n\n答案应为2x2矩阵。按照格式要求将最终答案置于双括号内:\n示例格式:[[((...,...),(...,...))]]", "ground_truth": {"A": [[1, 1], [-2, 2]], "B": [[10, 1], [-1, -1]]}}
|
||
{"data_source": "KorOperationUnicode20ac", "prompt": "请计算矩阵运算A€B=2A+3B,其中:\n\n矩阵A:\n\\[\n\\begin{pmatrix}\n 4 & 4 \\\\\n -5 & 3\n\\end{pmatrix}\n\\]\n\n矩阵B:\n\\[\n\\begin{pmatrix}\n -4 & 0 \\\\\n -3 & 6\n\\end{pmatrix}\n\\]\n\n答案应为2x2矩阵。按照格式要求将最终答案置于双括号内:\n示例格式:[[((...,...),(...,...))]]", "ground_truth": {"A": [[4, 4], [-5, 3]], "B": [[-4, 0], [-3, 6]]}}
|
||
{"data_source": "KorOperationUnicode20ac", "prompt": "请计算矩阵运算A€B=2A+3B,其中:\n\n矩阵A:\n\\[\n\\begin{pmatrix}\n -4 & 9 & 16 \\\\\n 12 & 19 & -6 \\\\\n 14 & -10 & 18\n\\end{pmatrix}\n\\]\n\n矩阵B:\n\\[\n\\begin{pmatrix}\n 10 & -3 & 13 \\\\\n 16 & -13 & -9 \\\\\n -3 & -15 & 9\n\\end{pmatrix}\n\\]\n\n答案应为3x3矩阵。按照格式要求将最终答案置于双括号内:\n示例格式:[[((...,...,...),(...,...,...),(...,...,...))]]", "ground_truth": {"A": [[-4, 9, 16], [12, 19, -6], [14, -10, 18]], "B": [[10, -3, 13], [16, -13, -9], [-3, -15, 9]]}}
|
||
{"data_source": "KorOperationUnicode20ac", "prompt": "请计算矩阵运算A€B=2A+3B,其中:\n\n矩阵A:\n\\[\n\\begin{pmatrix}\n -1 & 0 \\\\\n -2 & 0\n\\end{pmatrix}\n\\]\n\n矩阵B:\n\\[\n\\begin{pmatrix}\n 9 & 1 \\\\\n 7 & 1\n\\end{pmatrix}\n\\]\n\n答案应为2x2矩阵。按照格式要求将最终答案置于双括号内:\n示例格式:[[((...,...),(...,...))]]", "ground_truth": {"A": [[-1, 0], [-2, 0]], "B": [[9, 1], [7, 1]]}}
|
||
{"data_source": "KorOperationUnicode20ac", "prompt": "请计算矩阵运算A€B=2A+3B,其中:\n\n矩阵A:\n\\[\n\\begin{pmatrix}\n 5 & 3 & 5 \\\\\n 6 & 5 & 9\n\\end{pmatrix}\n\\]\n\n矩阵B:\n\\[\n\\begin{pmatrix}\n 0 & 7 & 9 \\\\\n 6 & 3 & 3\n\\end{pmatrix}\n\\]\n\n答案应为2x3矩阵。按照格式要求将最终答案置于双括号内:\n示例格式:[[((...,...,...),(...,...,...))]]", "ground_truth": {"A": [[5, 3, 5], [6, 5, 9]], "B": [[0, 7, 9], [6, 3, 3]]}}
|
||
{"data_source": "KorOperationUnicode20ac", "prompt": "请计算矩阵运算A€B=2A+3B,其中:\n\n矩阵A:\n\\[\n\\begin{pmatrix}\n -9 & 1 \\\\\n 5 & -7\n\\end{pmatrix}\n\\]\n\n矩阵B:\n\\[\n\\begin{pmatrix}\n 1 & -5 \\\\\n -2 & 4\n\\end{pmatrix}\n\\]\n\n答案应为2x2矩阵。按照格式要求将最终答案置于双括号内:\n示例格式:[[((...,...),(...,...))]]", "ground_truth": {"A": [[-9, 1], [5, -7]], "B": [[1, -5], [-2, 4]]}}
|
||
{"data_source": "KorOperationUnicode20ac", "prompt": "请计算矩阵运算A€B=2A+3B,其中:\n\n矩阵A:\n\\[\n\\begin{pmatrix}\n 8 & 3 \\\\\n 8 & -10\n\\end{pmatrix}\n\\]\n\n矩阵B:\n\\[\n\\begin{pmatrix}\n 4 & -8 \\\\\n 0 & 6\n\\end{pmatrix}\n\\]\n\n答案应为2x2矩阵。按照格式要求将最终答案置于双括号内:\n示例格式:[[((...,...),(...,...))]]", "ground_truth": {"A": [[8, 3], [8, -10]], "B": [[4, -8], [0, 6]]}}
|
||
{"data_source": "KorOperationUnicode20ac", "prompt": "请计算矩阵运算A€B=2A+3B,其中:\n\n矩阵A:\n\\[\n\\begin{pmatrix}\n 1 & 6 & 1 \\\\\n 5 & 8 & 4\n\\end{pmatrix}\n\\]\n\n矩阵B:\n\\[\n\\begin{pmatrix}\n 7 & 9 & 7 \\\\\n 6 & 8 & 4\n\\end{pmatrix}\n\\]\n\n答案应为2x3矩阵。按照格式要求将最终答案置于双括号内:\n示例格式:[[((...,...,...),(...,...,...))]]", "ground_truth": {"A": [[1, 6, 1], [5, 8, 4]], "B": [[7, 9, 7], [6, 8, 4]]}}
|
||
{"data_source": "KorOperationUnicode20ac", "prompt": "请计算矩阵运算A€B=2A+3B,其中:\n\n矩阵A:\n\\[\n\\begin{pmatrix}\n -9 & 5 \\\\\n -3 & 9\n\\end{pmatrix}\n\\]\n\n矩阵B:\n\\[\n\\begin{pmatrix}\n 1 & -1 \\\\\n 7 & 7\n\\end{pmatrix}\n\\]\n\n答案应为2x2矩阵。按照格式要求将最终答案置于双括号内:\n示例格式:[[((...,...),(...,...))]]", "ground_truth": {"A": [[-9, 5], [-3, 9]], "B": [[1, -1], [7, 7]]}}
|
||
{"data_source": "KorOperationUnicode20ac", "prompt": "请计算矩阵运算A€B=2A+3B,其中:\n\n矩阵A:\n\\[\n\\begin{pmatrix}\n 15 & -20 & 2 \\\\\n 17 & -16 & -19 \\\\\n 5 & 10 & 16\n\\end{pmatrix}\n\\]\n\n矩阵B:\n\\[\n\\begin{pmatrix}\n 12 & -13 & -7 \\\\\n -5 & 20 & 10 \\\\\n -9 & 5 & 6\n\\end{pmatrix}\n\\]\n\n答案应为3x3矩阵。按照格式要求将最终答案置于双括号内:\n示例格式:[[((...,...,...),(...,...,...),(...,...,...))]]", "ground_truth": {"A": [[15, -20, 2], [17, -16, -19], [5, 10, 16]], "B": [[12, -13, -7], [-5, 20, 10], [-9, 5, 6]]}}
|
||
{"data_source": "KorOperationUnicode20ac", "prompt": "请计算矩阵运算A€B=2A+3B,其中:\n\n矩阵A:\n\\[\n\\begin{pmatrix}\n 10 & 4 & 0 \\\\\n 4 & 8 & 4\n\\end{pmatrix}\n\\]\n\n矩阵B:\n\\[\n\\begin{pmatrix}\n 3 & 4 & 4 \\\\\n 2 & 1 & 1\n\\end{pmatrix}\n\\]\n\n答案应为2x3矩阵。按照格式要求将最终答案置于双括号内:\n示例格式:[[((...,...,...),(...,...,...))]]", "ground_truth": {"A": [[10, 4, 0], [4, 8, 4]], "B": [[3, 4, 4], [2, 1, 1]]}}
|
||
{"data_source": "KorOperationUnicode20ac", "prompt": "请计算矩阵运算A€B=2A+3B,其中:\n\n矩阵A:\n\\[\n\\begin{pmatrix}\n 6 & 6 & 4 \\\\\n 7 & 0 & 6\n\\end{pmatrix}\n\\]\n\n矩阵B:\n\\[\n\\begin{pmatrix}\n 6 & 8 & 5 \\\\\n 6 & 9 & 1\n\\end{pmatrix}\n\\]\n\n答案应为2x3矩阵。按照格式要求将最终答案置于双括号内:\n示例格式:[[((...,...,...),(...,...,...))]]", "ground_truth": {"A": [[6, 6, 4], [7, 0, 6]], "B": [[6, 8, 5], [6, 9, 1]]}}
|
||
{"data_source": "KorOperationUnicode20ac", "prompt": "请计算矩阵运算A€B=2A+3B,其中:\n\n矩阵A:\n\\[\n\\begin{pmatrix}\n -5 & 9 \\\\\n -5 & -4\n\\end{pmatrix}\n\\]\n\n矩阵B:\n\\[\n\\begin{pmatrix}\n 7 & 6 \\\\\n 5 & 8\n\\end{pmatrix}\n\\]\n\n答案应为2x2矩阵。按照格式要求将最终答案置于双括号内:\n示例格式:[[((...,...),(...,...))]]", "ground_truth": {"A": [[-5, 9], [-5, -4]], "B": [[7, 6], [5, 8]]}}
|
||
{"data_source": "KorOperationUnicode20ac", "prompt": "请计算矩阵运算A€B=2A+3B,其中:\n\n矩阵A:\n\\[\n\\begin{pmatrix}\n -3 & 1 \\\\\n -2 & 3\n\\end{pmatrix}\n\\]\n\n矩阵B:\n\\[\n\\begin{pmatrix}\n 0 & 6 \\\\\n 4 & 5\n\\end{pmatrix}\n\\]\n\n答案应为2x2矩阵。按照格式要求将最终答案置于双括号内:\n示例格式:[[((...,...),(...,...))]]", "ground_truth": {"A": [[-3, 1], [-2, 3]], "B": [[0, 6], [4, 5]]}}
|
||
{"data_source": "KorOperationUnicode20ac", "prompt": "请计算矩阵运算A€B=2A+3B,其中:\n\n矩阵A:\n\\[\n\\begin{pmatrix}\n 0 & 5 & 9 \\\\\n 4 & 9 & 5\n\\end{pmatrix}\n\\]\n\n矩阵B:\n\\[\n\\begin{pmatrix}\n 0 & 7 & 7 \\\\\n 5 & 9 & 0\n\\end{pmatrix}\n\\]\n\n答案应为2x3矩阵。按照格式要求将最终答案置于双括号内:\n示例格式:[[((...,...,...),(...,...,...))]]", "ground_truth": {"A": [[0, 5, 9], [4, 9, 5]], "B": [[0, 7, 7], [5, 9, 0]]}}
|
||
{"data_source": "KorOperationUnicode20ac", "prompt": "请计算矩阵运算A€B=2A+3B,其中:\n\n矩阵A:\n\\[\n\\begin{pmatrix}\n 12 & -14 & 10 \\\\\n 15 & 18 & -10 \\\\\n -5 & 6 & 0\n\\end{pmatrix}\n\\]\n\n矩阵B:\n\\[\n\\begin{pmatrix}\n -16 & 19 & 17 \\\\\n -4 & -17 & 3 \\\\\n -2 & 7 & 13\n\\end{pmatrix}\n\\]\n\n答案应为3x3矩阵。按照格式要求将最终答案置于双括号内:\n示例格式:[[((...,...,...),(...,...,...),(...,...,...))]]", "ground_truth": {"A": [[12, -14, 10], [15, 18, -10], [-5, 6, 0]], "B": [[-16, 19, 17], [-4, -17, 3], [-2, 7, 13]]}}
|
||
{"data_source": "KorOperationUnicode20ac", "prompt": "请计算矩阵运算A€B=2A+3B,其中:\n\n矩阵A:\n\\[\n\\begin{pmatrix}\n -9 & 6 \\\\\n -8 & 8\n\\end{pmatrix}\n\\]\n\n矩阵B:\n\\[\n\\begin{pmatrix}\n -5 & -8 \\\\\n -7 & -5\n\\end{pmatrix}\n\\]\n\n答案应为2x2矩阵。按照格式要求将最终答案置于双括号内:\n示例格式:[[((...,...),(...,...))]]", "ground_truth": {"A": [[-9, 6], [-8, 8]], "B": [[-5, -8], [-7, -5]]}}
|
||
{"data_source": "KorOperationUnicode20ac", "prompt": "请计算矩阵运算A€B=2A+3B,其中:\n\n矩阵A:\n\\[\n\\begin{pmatrix}\n -2 & 8 \\\\\n 6 & 3\n\\end{pmatrix}\n\\]\n\n矩阵B:\n\\[\n\\begin{pmatrix}\n 8 & 1 \\\\\n 5 & -3\n\\end{pmatrix}\n\\]\n\n答案应为2x2矩阵。按照格式要求将最终答案置于双括号内:\n示例格式:[[((...,...),(...,...))]]", "ground_truth": {"A": [[-2, 8], [6, 3]], "B": [[8, 1], [5, -3]]}}
|
||
{"data_source": "KorOperationUnicode20ac", "prompt": "请计算矩阵运算A€B=2A+3B,其中:\n\n矩阵A:\n\\[\n\\begin{pmatrix}\n 9 & 4 & 1 \\\\\n 7 & 9 & 6\n\\end{pmatrix}\n\\]\n\n矩阵B:\n\\[\n\\begin{pmatrix}\n 9 & 2 & 4 \\\\\n 5 & 5 & 2\n\\end{pmatrix}\n\\]\n\n答案应为2x3矩阵。按照格式要求将最终答案置于双括号内:\n示例格式:[[((...,...,...),(...,...,...))]]", "ground_truth": {"A": [[9, 4, 1], [7, 9, 6]], "B": [[9, 2, 4], [5, 5, 2]]}}
|
||
{"data_source": "KorOperationUnicode20ac", "prompt": "请计算矩阵运算A€B=2A+3B,其中:\n\n矩阵A:\n\\[\n\\begin{pmatrix}\n -9 & 1 & -10 \\\\\n 11 & -6 & -13 \\\\\n 7 & -7 & -9\n\\end{pmatrix}\n\\]\n\n矩阵B:\n\\[\n\\begin{pmatrix}\n -1 & 18 & -2 \\\\\n -13 & -10 & -4 \\\\\n 11 & 20 & 3\n\\end{pmatrix}\n\\]\n\n答案应为3x3矩阵。按照格式要求将最终答案置于双括号内:\n示例格式:[[((...,...,...),(...,...,...),(...,...,...))]]", "ground_truth": {"A": [[-9, 1, -10], [11, -6, -13], [7, -7, -9]], "B": [[-1, 18, -2], [-13, -10, -4], [11, 20, 3]]}}
|
||
{"data_source": "KorOperationUnicode20ac", "prompt": "请计算矩阵运算A€B=2A+3B,其中:\n\n矩阵A:\n\\[\n\\begin{pmatrix}\n 6 & 2 & 3 \\\\\n 8 & 10 & 7\n\\end{pmatrix}\n\\]\n\n矩阵B:\n\\[\n\\begin{pmatrix}\n 2 & 6 & 9 \\\\\n 6 & 4 & 0\n\\end{pmatrix}\n\\]\n\n答案应为2x3矩阵。按照格式要求将最终答案置于双括号内:\n示例格式:[[((...,...,...),(...,...,...))]]", "ground_truth": {"A": [[6, 2, 3], [8, 10, 7]], "B": [[2, 6, 9], [6, 4, 0]]}}
|
||
{"data_source": "KorOperationUnicode20ac", "prompt": "请计算矩阵运算A€B=2A+3B,其中:\n\n矩阵A:\n\\[\n\\begin{pmatrix}\n 5 & 7 & 4 \\\\\n 2 & 0 & 7\n\\end{pmatrix}\n\\]\n\n矩阵B:\n\\[\n\\begin{pmatrix}\n 3 & 4 & 9 \\\\\n 10 & 0 & 3\n\\end{pmatrix}\n\\]\n\n答案应为2x3矩阵。按照格式要求将最终答案置于双括号内:\n示例格式:[[((...,...,...),(...,...,...))]]", "ground_truth": {"A": [[5, 7, 4], [2, 0, 7]], "B": [[3, 4, 9], [10, 0, 3]]}}
|
||
{"data_source": "KorOperationUnicode20ac", "prompt": "请计算矩阵运算A€B=2A+3B,其中:\n\n矩阵A:\n\\[\n\\begin{pmatrix}\n -5 & -4 \\\\\n -1 & -3\n\\end{pmatrix}\n\\]\n\n矩阵B:\n\\[\n\\begin{pmatrix}\n 5 & -5 \\\\\n 0 & 9\n\\end{pmatrix}\n\\]\n\n答案应为2x2矩阵。按照格式要求将最终答案置于双括号内:\n示例格式:[[((...,...),(...,...))]]", "ground_truth": {"A": [[-5, -4], [-1, -3]], "B": [[5, -5], [0, 9]]}}
|
||
{"data_source": "KorOperationUnicode20ac", "prompt": "请计算矩阵运算A€B=2A+3B,其中:\n\n矩阵A:\n\\[\n\\begin{pmatrix}\n 1 & 7 & 4 \\\\\n 8 & 10 & 3\n\\end{pmatrix}\n\\]\n\n矩阵B:\n\\[\n\\begin{pmatrix}\n 8 & 7 & 6 \\\\\n 8 & 2 & 2\n\\end{pmatrix}\n\\]\n\n答案应为2x3矩阵。按照格式要求将最终答案置于双括号内:\n示例格式:[[((...,...,...),(...,...,...))]]", "ground_truth": {"A": [[1, 7, 4], [8, 10, 3]], "B": [[8, 7, 6], [8, 2, 2]]}}
|
||
{"data_source": "KorOperationUnicode20ac", "prompt": "请计算矩阵运算A€B=2A+3B,其中:\n\n矩阵A:\n\\[\n\\begin{pmatrix}\n -17 & -5 & 17 \\\\\n 14 & -19 & -9 \\\\\n -3 & 7 & 12\n\\end{pmatrix}\n\\]\n\n矩阵B:\n\\[\n\\begin{pmatrix}\n -5 & -8 & 18 \\\\\n -8 & -6 & 5 \\\\\n 10 & -5 & 20\n\\end{pmatrix}\n\\]\n\n答案应为3x3矩阵。按照格式要求将最终答案置于双括号内:\n示例格式:[[((...,...,...),(...,...,...),(...,...,...))]]", "ground_truth": {"A": [[-17, -5, 17], [14, -19, -9], [-3, 7, 12]], "B": [[-5, -8, 18], [-8, -6, 5], [10, -5, 20]]}}
|
||
{"data_source": "KorOperationUnicode20ac", "prompt": "请计算矩阵运算A€B=2A+3B,其中:\n\n矩阵A:\n\\[\n\\begin{pmatrix}\n 6 & 8 \\\\\n 8 & -5\n\\end{pmatrix}\n\\]\n\n矩阵B:\n\\[\n\\begin{pmatrix}\n -4 & 0 \\\\\n 10 & -5\n\\end{pmatrix}\n\\]\n\n答案应为2x2矩阵。按照格式要求将最终答案置于双括号内:\n示例格式:[[((...,...),(...,...))]]", "ground_truth": {"A": [[6, 8], [8, -5]], "B": [[-4, 0], [10, -5]]}}
|
||
{"data_source": "KorOperationUnicode20ac", "prompt": "请计算矩阵运算A€B=2A+3B,其中:\n\n矩阵A:\n\\[\n\\begin{pmatrix}\n 4 & 7 \\\\\n -4 & -1\n\\end{pmatrix}\n\\]\n\n矩阵B:\n\\[\n\\begin{pmatrix}\n 4 & 8 \\\\\n -5 & -1\n\\end{pmatrix}\n\\]\n\n答案应为2x2矩阵。按照格式要求将最终答案置于双括号内:\n示例格式:[[((...,...),(...,...))]]", "ground_truth": {"A": [[4, 7], [-4, -1]], "B": [[4, 8], [-5, -1]]}}
|
||
{"data_source": "KorOperationUnicode20ac", "prompt": "请计算矩阵运算A€B=2A+3B,其中:\n\n矩阵A:\n\\[\n\\begin{pmatrix}\n -1 & 8 \\\\\n 1 & -7\n\\end{pmatrix}\n\\]\n\n矩阵B:\n\\[\n\\begin{pmatrix}\n -8 & 8 \\\\\n 10 & -6\n\\end{pmatrix}\n\\]\n\n答案应为2x2矩阵。按照格式要求将最终答案置于双括号内:\n示例格式:[[((...,...),(...,...))]]", "ground_truth": {"A": [[-1, 8], [1, -7]], "B": [[-8, 8], [10, -6]]}}
|
||
{"data_source": "KorOperationUnicode20ac", "prompt": "请计算矩阵运算A€B=2A+3B,其中:\n\n矩阵A:\n\\[\n\\begin{pmatrix}\n 9 & 19 & -11 \\\\\n 12 & 15 & 8 \\\\\n -14 & 6 & 6\n\\end{pmatrix}\n\\]\n\n矩阵B:\n\\[\n\\begin{pmatrix}\n 11 & -18 & 9 \\\\\n -9 & 16 & 9 \\\\\n 14 & 15 & 15\n\\end{pmatrix}\n\\]\n\n答案应为3x3矩阵。按照格式要求将最终答案置于双括号内:\n示例格式:[[((...,...,...),(...,...,...),(...,...,...))]]", "ground_truth": {"A": [[9, 19, -11], [12, 15, 8], [-14, 6, 6]], "B": [[11, -18, 9], [-9, 16, 9], [14, 15, 15]]}}
|
||
{"data_source": "KorOperationUnicode20ac", "prompt": "请计算矩阵运算A€B=2A+3B,其中:\n\n矩阵A:\n\\[\n\\begin{pmatrix}\n 9 & -1 \\\\\n 1 & -2\n\\end{pmatrix}\n\\]\n\n矩阵B:\n\\[\n\\begin{pmatrix}\n -9 & 3 \\\\\n 9 & -4\n\\end{pmatrix}\n\\]\n\n答案应为2x2矩阵。按照格式要求将最终答案置于双括号内:\n示例格式:[[((...,...),(...,...))]]", "ground_truth": {"A": [[9, -1], [1, -2]], "B": [[-9, 3], [9, -4]]}}
|
||
{"data_source": "KorOperationUnicode20ac", "prompt": "请计算矩阵运算A€B=2A+3B,其中:\n\n矩阵A:\n\\[\n\\begin{pmatrix}\n 8 & 4 \\\\\n 10 & -6\n\\end{pmatrix}\n\\]\n\n矩阵B:\n\\[\n\\begin{pmatrix}\n 6 & -10 \\\\\n -10 & 2\n\\end{pmatrix}\n\\]\n\n答案应为2x2矩阵。按照格式要求将最终答案置于双括号内:\n示例格式:[[((...,...),(...,...))]]", "ground_truth": {"A": [[8, 4], [10, -6]], "B": [[6, -10], [-10, 2]]}}
|
||
{"data_source": "KorOperationUnicode20ac", "prompt": "请计算矩阵运算A€B=2A+3B,其中:\n\n矩阵A:\n\\[\n\\begin{pmatrix}\n 10 & -3 \\\\\n 10 & 0\n\\end{pmatrix}\n\\]\n\n矩阵B:\n\\[\n\\begin{pmatrix}\n -4 & 1 \\\\\n 2 & -1\n\\end{pmatrix}\n\\]\n\n答案应为2x2矩阵。按照格式要求将最终答案置于双括号内:\n示例格式:[[((...,...),(...,...))]]", "ground_truth": {"A": [[10, -3], [10, 0]], "B": [[-4, 1], [2, -1]]}}
|
||
{"data_source": "KorOperationUnicode20ac", "prompt": "请计算矩阵运算A€B=2A+3B,其中:\n\n矩阵A:\n\\[\n\\begin{pmatrix}\n -1 & -3 \\\\\n 4 & -9\n\\end{pmatrix}\n\\]\n\n矩阵B:\n\\[\n\\begin{pmatrix}\n 5 & -10 \\\\\n 8 & 0\n\\end{pmatrix}\n\\]\n\n答案应为2x2矩阵。按照格式要求将最终答案置于双括号内:\n示例格式:[[((...,...),(...,...))]]", "ground_truth": {"A": [[-1, -3], [4, -9]], "B": [[5, -10], [8, 0]]}}
|
||
{"data_source": "KorOperationUnicode20ac", "prompt": "请计算矩阵运算A€B=2A+3B,其中:\n\n矩阵A:\n\\[\n\\begin{pmatrix}\n 3 & -2 \\\\\n 1 & -1\n\\end{pmatrix}\n\\]\n\n矩阵B:\n\\[\n\\begin{pmatrix}\n -2 & -2 \\\\\n 9 & 6\n\\end{pmatrix}\n\\]\n\n答案应为2x2矩阵。按照格式要求将最终答案置于双括号内:\n示例格式:[[((...,...),(...,...))]]", "ground_truth": {"A": [[3, -2], [1, -1]], "B": [[-2, -2], [9, 6]]}}
|
||
{"data_source": "KorOperationUnicode20ac", "prompt": "请计算矩阵运算A€B=2A+3B,其中:\n\n矩阵A:\n\\[\n\\begin{pmatrix}\n 6 & 8 & 6 \\\\\n 3 & 8 & 8\n\\end{pmatrix}\n\\]\n\n矩阵B:\n\\[\n\\begin{pmatrix}\n 9 & 8 & 8 \\\\\n 7 & 6 & 8\n\\end{pmatrix}\n\\]\n\n答案应为2x3矩阵。按照格式要求将最终答案置于双括号内:\n示例格式:[[((...,...,...),(...,...,...))]]", "ground_truth": {"A": [[6, 8, 6], [3, 8, 8]], "B": [[9, 8, 8], [7, 6, 8]]}}
|
||
{"data_source": "KorOperationUnicode20ac", "prompt": "请计算矩阵运算A€B=2A+3B,其中:\n\n矩阵A:\n\\[\n\\begin{pmatrix}\n 7 & -1 \\\\\n 4 & 10\n\\end{pmatrix}\n\\]\n\n矩阵B:\n\\[\n\\begin{pmatrix}\n 4 & -2 \\\\\n -6 & -6\n\\end{pmatrix}\n\\]\n\n答案应为2x2矩阵。按照格式要求将最终答案置于双括号内:\n示例格式:[[((...,...),(...,...))]]", "ground_truth": {"A": [[7, -1], [4, 10]], "B": [[4, -2], [-6, -6]]}}
|
||
{"data_source": "KorOperationUnicode20ac", "prompt": "请计算矩阵运算A€B=2A+3B,其中:\n\n矩阵A:\n\\[\n\\begin{pmatrix}\n 0 & 0 & 3 \\\\\n 4 & 5 & 3\n\\end{pmatrix}\n\\]\n\n矩阵B:\n\\[\n\\begin{pmatrix}\n 1 & 8 & 3 \\\\\n 1 & 0 & 4\n\\end{pmatrix}\n\\]\n\n答案应为2x3矩阵。按照格式要求将最终答案置于双括号内:\n示例格式:[[((...,...,...),(...,...,...))]]", "ground_truth": {"A": [[0, 0, 3], [4, 5, 3]], "B": [[1, 8, 3], [1, 0, 4]]}}
|
||
{"data_source": "KorOperationUnicode20ac", "prompt": "请计算矩阵运算A€B=2A+3B,其中:\n\n矩阵A:\n\\[\n\\begin{pmatrix}\n 0 & -4 \\\\\n 2 & -1\n\\end{pmatrix}\n\\]\n\n矩阵B:\n\\[\n\\begin{pmatrix}\n -3 & -4 \\\\\n 9 & 0\n\\end{pmatrix}\n\\]\n\n答案应为2x2矩阵。按照格式要求将最终答案置于双括号内:\n示例格式:[[((...,...),(...,...))]]", "ground_truth": {"A": [[0, -4], [2, -1]], "B": [[-3, -4], [9, 0]]}}
|
||
{"data_source": "KorOperationUnicode20ac", "prompt": "请计算矩阵运算A€B=2A+3B,其中:\n\n矩阵A:\n\\[\n\\begin{pmatrix}\n 6 & 9 & 6 \\\\\n 7 & 0 & 7\n\\end{pmatrix}\n\\]\n\n矩阵B:\n\\[\n\\begin{pmatrix}\n 1 & 2 & 2 \\\\\n 4 & 8 & 5\n\\end{pmatrix}\n\\]\n\n答案应为2x3矩阵。按照格式要求将最终答案置于双括号内:\n示例格式:[[((...,...,...),(...,...,...))]]", "ground_truth": {"A": [[6, 9, 6], [7, 0, 7]], "B": [[1, 2, 2], [4, 8, 5]]}}
|
||
{"data_source": "KorOperationUnicode20ac", "prompt": "请计算矩阵运算A€B=2A+3B,其中:\n\n矩阵A:\n\\[\n\\begin{pmatrix}\n -13 & -8 & 0 \\\\\n 20 & -9 & -17 \\\\\n 5 & 11 & -9\n\\end{pmatrix}\n\\]\n\n矩阵B:\n\\[\n\\begin{pmatrix}\n -14 & 18 & -15 \\\\\n 12 & 8 & -20 \\\\\n 9 & -1 & 3\n\\end{pmatrix}\n\\]\n\n答案应为3x3矩阵。按照格式要求将最终答案置于双括号内:\n示例格式:[[((...,...,...),(...,...,...),(...,...,...))]]", "ground_truth": {"A": [[-13, -8, 0], [20, -9, -17], [5, 11, -9]], "B": [[-14, 18, -15], [12, 8, -20], [9, -1, 3]]}}
|
||
{"data_source": "KorOperationUnicode20ac", "prompt": "请计算矩阵运算A€B=2A+3B,其中:\n\n矩阵A:\n\\[\n\\begin{pmatrix}\n 0 & 10 & 1 \\\\\n 5 & 10 & 5\n\\end{pmatrix}\n\\]\n\n矩阵B:\n\\[\n\\begin{pmatrix}\n 0 & 7 & 9 \\\\\n 1 & 4 & 9\n\\end{pmatrix}\n\\]\n\n答案应为2x3矩阵。按照格式要求将最终答案置于双括号内:\n示例格式:[[((...,...,...),(...,...,...))]]", "ground_truth": {"A": [[0, 10, 1], [5, 10, 5]], "B": [[0, 7, 9], [1, 4, 9]]}}
|
||
{"data_source": "KorOperationUnicode20ac", "prompt": "请计算矩阵运算A€B=2A+3B,其中:\n\n矩阵A:\n\\[\n\\begin{pmatrix}\n 1 & 5 \\\\\n 6 & 9\n\\end{pmatrix}\n\\]\n\n矩阵B:\n\\[\n\\begin{pmatrix}\n -4 & 1 \\\\\n 8 & 0\n\\end{pmatrix}\n\\]\n\n答案应为2x2矩阵。按照格式要求将最终答案置于双括号内:\n示例格式:[[((...,...),(...,...))]]", "ground_truth": {"A": [[1, 5], [6, 9]], "B": [[-4, 1], [8, 0]]}}
|
||
{"data_source": "KorOperationUnicode20ac", "prompt": "请计算矩阵运算A€B=2A+3B,其中:\n\n矩阵A:\n\\[\n\\begin{pmatrix}\n -10 & -6 \\\\\n -2 & 2\n\\end{pmatrix}\n\\]\n\n矩阵B:\n\\[\n\\begin{pmatrix}\n -10 & -1 \\\\\n 10 & 3\n\\end{pmatrix}\n\\]\n\n答案应为2x2矩阵。按照格式要求将最终答案置于双括号内:\n示例格式:[[((...,...),(...,...))]]", "ground_truth": {"A": [[-10, -6], [-2, 2]], "B": [[-10, -1], [10, 3]]}}
|
||
{"data_source": "KorOperationUnicode20ac", "prompt": "请计算矩阵运算A€B=2A+3B,其中:\n\n矩阵A:\n\\[\n\\begin{pmatrix}\n -10 & -5 \\\\\n -8 & -9\n\\end{pmatrix}\n\\]\n\n矩阵B:\n\\[\n\\begin{pmatrix}\n 0 & -9 \\\\\n 1 & 2\n\\end{pmatrix}\n\\]\n\n答案应为2x2矩阵。按照格式要求将最终答案置于双括号内:\n示例格式:[[((...,...),(...,...))]]", "ground_truth": {"A": [[-10, -5], [-8, -9]], "B": [[0, -9], [1, 2]]}}
|
||
{"data_source": "KorOperationUnicode20ac", "prompt": "请计算矩阵运算A€B=2A+3B,其中:\n\n矩阵A:\n\\[\n\\begin{pmatrix}\n -1 & 6 \\\\\n 1 & -5\n\\end{pmatrix}\n\\]\n\n矩阵B:\n\\[\n\\begin{pmatrix}\n 1 & -8 \\\\\n 5 & 10\n\\end{pmatrix}\n\\]\n\n答案应为2x2矩阵。按照格式要求将最终答案置于双括号内:\n示例格式:[[((...,...),(...,...))]]", "ground_truth": {"A": [[-1, 6], [1, -5]], "B": [[1, -8], [5, 10]]}}
|
||
{"data_source": "KorOperationUnicode20ac", "prompt": "请计算矩阵运算A€B=2A+3B,其中:\n\n矩阵A:\n\\[\n\\begin{pmatrix}\n 3 & -2 \\\\\n 10 & 4\n\\end{pmatrix}\n\\]\n\n矩阵B:\n\\[\n\\begin{pmatrix}\n -2 & 5 \\\\\n 1 & -2\n\\end{pmatrix}\n\\]\n\n答案应为2x2矩阵。按照格式要求将最终答案置于双括号内:\n示例格式:[[((...,...),(...,...))]]", "ground_truth": {"A": [[3, -2], [10, 4]], "B": [[-2, 5], [1, -2]]}}
|
||
{"data_source": "KorOperationUnicode20ac", "prompt": "请计算矩阵运算A€B=2A+3B,其中:\n\n矩阵A:\n\\[\n\\begin{pmatrix}\n 8 & -16 & 0 \\\\\n -11 & -2 & 4 \\\\\n -2 & -5 & -3\n\\end{pmatrix}\n\\]\n\n矩阵B:\n\\[\n\\begin{pmatrix}\n -8 & 5 & -19 \\\\\n -5 & -10 & 0 \\\\\n 15 & -18 & 8\n\\end{pmatrix}\n\\]\n\n答案应为3x3矩阵。按照格式要求将最终答案置于双括号内:\n示例格式:[[((...,...,...),(...,...,...),(...,...,...))]]", "ground_truth": {"A": [[8, -16, 0], [-11, -2, 4], [-2, -5, -3]], "B": [[-8, 5, -19], [-5, -10, 0], [15, -18, 8]]}}
|
||
{"data_source": "KorOperationUnicode20ac", "prompt": "请计算矩阵运算A€B=2A+3B,其中:\n\n矩阵A:\n\\[\n\\begin{pmatrix}\n -2 & -2 \\\\\n -6 & -2\n\\end{pmatrix}\n\\]\n\n矩阵B:\n\\[\n\\begin{pmatrix}\n -5 & 2 \\\\\n 10 & 10\n\\end{pmatrix}\n\\]\n\n答案应为2x2矩阵。按照格式要求将最终答案置于双括号内:\n示例格式:[[((...,...),(...,...))]]", "ground_truth": {"A": [[-2, -2], [-6, -2]], "B": [[-5, 2], [10, 10]]}}
|
||
{"data_source": "KorOperationUnicode20ac", "prompt": "请计算矩阵运算A€B=2A+3B,其中:\n\n矩阵A:\n\\[\n\\begin{pmatrix}\n 6 & 6 & 9 \\\\\n 6 & 7 & 5\n\\end{pmatrix}\n\\]\n\n矩阵B:\n\\[\n\\begin{pmatrix}\n 6 & 2 & 1 \\\\\n 7 & 8 & 6\n\\end{pmatrix}\n\\]\n\n答案应为2x3矩阵。按照格式要求将最终答案置于双括号内:\n示例格式:[[((...,...,...),(...,...,...))]]", "ground_truth": {"A": [[6, 6, 9], [6, 7, 5]], "B": [[6, 2, 1], [7, 8, 6]]}}
|
||
{"data_source": "KorOperationUnicode20ac", "prompt": "请计算矩阵运算A€B=2A+3B,其中:\n\n矩阵A:\n\\[\n\\begin{pmatrix}\n -9 & -14 & -4 \\\\\n 13 & 13 & -2 \\\\\n 20 & -20 & -13\n\\end{pmatrix}\n\\]\n\n矩阵B:\n\\[\n\\begin{pmatrix}\n -19 & 6 & 18 \\\\\n -14 & -8 & -8 \\\\\n 1 & -18 & 1\n\\end{pmatrix}\n\\]\n\n答案应为3x3矩阵。按照格式要求将最终答案置于双括号内:\n示例格式:[[((...,...,...),(...,...,...),(...,...,...))]]", "ground_truth": {"A": [[-9, -14, -4], [13, 13, -2], [20, -20, -13]], "B": [[-19, 6, 18], [-14, -8, -8], [1, -18, 1]]}}
|
||
{"data_source": "KorOperationUnicode20ac", "prompt": "请计算矩阵运算A€B=2A+3B,其中:\n\n矩阵A:\n\\[\n\\begin{pmatrix}\n -5 & -4 \\\\\n 1 & 7\n\\end{pmatrix}\n\\]\n\n矩阵B:\n\\[\n\\begin{pmatrix}\n 5 & -6 \\\\\n -3 & 3\n\\end{pmatrix}\n\\]\n\n答案应为2x2矩阵。按照格式要求将最终答案置于双括号内:\n示例格式:[[((...,...),(...,...))]]", "ground_truth": {"A": [[-5, -4], [1, 7]], "B": [[5, -6], [-3, 3]]}}
|
||
{"data_source": "KorOperationUnicode20ac", "prompt": "请计算矩阵运算A€B=2A+3B,其中:\n\n矩阵A:\n\\[\n\\begin{pmatrix}\n 10 & 10 \\\\\n 5 & 0\n\\end{pmatrix}\n\\]\n\n矩阵B:\n\\[\n\\begin{pmatrix}\n -7 & 5 \\\\\n -4 & -4\n\\end{pmatrix}\n\\]\n\n答案应为2x2矩阵。按照格式要求将最终答案置于双括号内:\n示例格式:[[((...,...),(...,...))]]", "ground_truth": {"A": [[10, 10], [5, 0]], "B": [[-7, 5], [-4, -4]]}}
|
||
{"data_source": "KorOperationUnicode20ac", "prompt": "请计算矩阵运算A€B=2A+3B,其中:\n\n矩阵A:\n\\[\n\\begin{pmatrix}\n 8 & 6 & 3 \\\\\n 10 & 3 & 5\n\\end{pmatrix}\n\\]\n\n矩阵B:\n\\[\n\\begin{pmatrix}\n 10 & 2 & 8 \\\\\n 6 & 9 & 6\n\\end{pmatrix}\n\\]\n\n答案应为2x3矩阵。按照格式要求将最终答案置于双括号内:\n示例格式:[[((...,...,...),(...,...,...))]]", "ground_truth": {"A": [[8, 6, 3], [10, 3, 5]], "B": [[10, 2, 8], [6, 9, 6]]}}
|
||
{"data_source": "KorOperationUnicode20ac", "prompt": "请计算矩阵运算A€B=2A+3B,其中:\n\n矩阵A:\n\\[\n\\begin{pmatrix}\n 20 & 20 & 8 \\\\\n -1 & -10 & 20 \\\\\n 10 & -4 & -15\n\\end{pmatrix}\n\\]\n\n矩阵B:\n\\[\n\\begin{pmatrix}\n 3 & -12 & 3 \\\\\n 14 & 10 & 0 \\\\\n 17 & 6 & -15\n\\end{pmatrix}\n\\]\n\n答案应为3x3矩阵。按照格式要求将最终答案置于双括号内:\n示例格式:[[((...,...,...),(...,...,...),(...,...,...))]]", "ground_truth": {"A": [[20, 20, 8], [-1, -10, 20], [10, -4, -15]], "B": [[3, -12, 3], [14, 10, 0], [17, 6, -15]]}}
|
||
{"data_source": "KorOperationUnicode20ac", "prompt": "请计算矩阵运算A€B=2A+3B,其中:\n\n矩阵A:\n\\[\n\\begin{pmatrix}\n 8 & 4 \\\\\n -5 & 5\n\\end{pmatrix}\n\\]\n\n矩阵B:\n\\[\n\\begin{pmatrix}\n 8 & 2 \\\\\n -5 & 8\n\\end{pmatrix}\n\\]\n\n答案应为2x2矩阵。按照格式要求将最终答案置于双括号内:\n示例格式:[[((...,...),(...,...))]]", "ground_truth": {"A": [[8, 4], [-5, 5]], "B": [[8, 2], [-5, 8]]}}
|
||
{"data_source": "KorOperationUnicode20ac", "prompt": "请计算矩阵运算A€B=2A+3B,其中:\n\n矩阵A:\n\\[\n\\begin{pmatrix}\n 7 & 8 \\\\\n 6 & 7\n\\end{pmatrix}\n\\]\n\n矩阵B:\n\\[\n\\begin{pmatrix}\n 5 & -7 \\\\\n 0 & -5\n\\end{pmatrix}\n\\]\n\n答案应为2x2矩阵。按照格式要求将最终答案置于双括号内:\n示例格式:[[((...,...),(...,...))]]", "ground_truth": {"A": [[7, 8], [6, 7]], "B": [[5, -7], [0, -5]]}}
|
||
{"data_source": "KorOperationUnicode20ac", "prompt": "请计算矩阵运算A€B=2A+3B,其中:\n\n矩阵A:\n\\[\n\\begin{pmatrix}\n 10 & 3 & 3 \\\\\n 4 & 5 & 7\n\\end{pmatrix}\n\\]\n\n矩阵B:\n\\[\n\\begin{pmatrix}\n 0 & 4 & 8 \\\\\n 10 & 6 & 7\n\\end{pmatrix}\n\\]\n\n答案应为2x3矩阵。按照格式要求将最终答案置于双括号内:\n示例格式:[[((...,...,...),(...,...,...))]]", "ground_truth": {"A": [[10, 3, 3], [4, 5, 7]], "B": [[0, 4, 8], [10, 6, 7]]}}
|
||
{"data_source": "KorOperationUnicode20ac", "prompt": "请计算矩阵运算A€B=2A+3B,其中:\n\n矩阵A:\n\\[\n\\begin{pmatrix}\n 7 & 4 & 5 \\\\\n 4 & 5 & 9\n\\end{pmatrix}\n\\]\n\n矩阵B:\n\\[\n\\begin{pmatrix}\n 4 & 9 & 4 \\\\\n 5 & 10 & 5\n\\end{pmatrix}\n\\]\n\n答案应为2x3矩阵。按照格式要求将最终答案置于双括号内:\n示例格式:[[((...,...,...),(...,...,...))]]", "ground_truth": {"A": [[7, 4, 5], [4, 5, 9]], "B": [[4, 9, 4], [5, 10, 5]]}}
|
||
{"data_source": "KorOperationUnicode20ac", "prompt": "请计算矩阵运算A€B=2A+3B,其中:\n\n矩阵A:\n\\[\n\\begin{pmatrix}\n 18 & -9 & 19 \\\\\n 15 & 16 & 20 \\\\\n -5 & 9 & -19\n\\end{pmatrix}\n\\]\n\n矩阵B:\n\\[\n\\begin{pmatrix}\n -4 & -9 & 1 \\\\\n 4 & -1 & 5 \\\\\n -7 & 4 & 7\n\\end{pmatrix}\n\\]\n\n答案应为3x3矩阵。按照格式要求将最终答案置于双括号内:\n示例格式:[[((...,...,...),(...,...,...),(...,...,...))]]", "ground_truth": {"A": [[18, -9, 19], [15, 16, 20], [-5, 9, -19]], "B": [[-4, -9, 1], [4, -1, 5], [-7, 4, 7]]}}
|
||
{"data_source": "KorOperationUnicode20ac", "prompt": "请计算矩阵运算A€B=2A+3B,其中:\n\n矩阵A:\n\\[\n\\begin{pmatrix}\n -9 & -10 \\\\\n -5 & -2\n\\end{pmatrix}\n\\]\n\n矩阵B:\n\\[\n\\begin{pmatrix}\n 8 & 6 \\\\\n -9 & 6\n\\end{pmatrix}\n\\]\n\n答案应为2x2矩阵。按照格式要求将最终答案置于双括号内:\n示例格式:[[((...,...),(...,...))]]", "ground_truth": {"A": [[-9, -10], [-5, -2]], "B": [[8, 6], [-9, 6]]}}
|
||
{"data_source": "KorOperationUnicode20ac", "prompt": "请计算矩阵运算A€B=2A+3B,其中:\n\n矩阵A:\n\\[\n\\begin{pmatrix}\n -3 & 7 \\\\\n 0 & -4\n\\end{pmatrix}\n\\]\n\n矩阵B:\n\\[\n\\begin{pmatrix}\n 4 & 9 \\\\\n -3 & 1\n\\end{pmatrix}\n\\]\n\n答案应为2x2矩阵。按照格式要求将最终答案置于双括号内:\n示例格式:[[((...,...),(...,...))]]", "ground_truth": {"A": [[-3, 7], [0, -4]], "B": [[4, 9], [-3, 1]]}}
|
||
{"data_source": "KorOperationUnicode20ac", "prompt": "请计算矩阵运算A€B=2A+3B,其中:\n\n矩阵A:\n\\[\n\\begin{pmatrix}\n -20 & -4 & -17 \\\\\n 8 & 2 & 10 \\\\\n 8 & -2 & 8\n\\end{pmatrix}\n\\]\n\n矩阵B:\n\\[\n\\begin{pmatrix}\n 9 & 6 & 3 \\\\\n 20 & 8 & 3 \\\\\n 14 & -8 & -6\n\\end{pmatrix}\n\\]\n\n答案应为3x3矩阵。按照格式要求将最终答案置于双括号内:\n示例格式:[[((...,...,...),(...,...,...),(...,...,...))]]", "ground_truth": {"A": [[-20, -4, -17], [8, 2, 10], [8, -2, 8]], "B": [[9, 6, 3], [20, 8, 3], [14, -8, -6]]}}
|
||
{"data_source": "KorOperationUnicode20ac", "prompt": "请计算矩阵运算A€B=2A+3B,其中:\n\n矩阵A:\n\\[\n\\begin{pmatrix}\n 7 & -6 & -9 \\\\\n -17 & -1 & -19 \\\\\n 19 & -15 & 1\n\\end{pmatrix}\n\\]\n\n矩阵B:\n\\[\n\\begin{pmatrix}\n 2 & 5 & 12 \\\\\n 14 & 13 & -2 \\\\\n -18 & 17 & 16\n\\end{pmatrix}\n\\]\n\n答案应为3x3矩阵。按照格式要求将最终答案置于双括号内:\n示例格式:[[((...,...,...),(...,...,...),(...,...,...))]]", "ground_truth": {"A": [[7, -6, -9], [-17, -1, -19], [19, -15, 1]], "B": [[2, 5, 12], [14, 13, -2], [-18, 17, 16]]}}
|
||
{"data_source": "KorOperationUnicode20ac", "prompt": "请计算矩阵运算A€B=2A+3B,其中:\n\n矩阵A:\n\\[\n\\begin{pmatrix}\n 6 & -5 & -6 \\\\\n 19 & 16 & -10 \\\\\n 5 & 12 & 17\n\\end{pmatrix}\n\\]\n\n矩阵B:\n\\[\n\\begin{pmatrix}\n 17 & -4 & 13 \\\\\n -19 & 17 & 20 \\\\\n 8 & 0 & 1\n\\end{pmatrix}\n\\]\n\n答案应为3x3矩阵。按照格式要求将最终答案置于双括号内:\n示例格式:[[((...,...,...),(...,...,...),(...,...,...))]]", "ground_truth": {"A": [[6, -5, -6], [19, 16, -10], [5, 12, 17]], "B": [[17, -4, 13], [-19, 17, 20], [8, 0, 1]]}}
|
||
{"data_source": "KorOperationUnicode20ac", "prompt": "请计算矩阵运算A€B=2A+3B,其中:\n\n矩阵A:\n\\[\n\\begin{pmatrix}\n 8 & 5 & 2 \\\\\n 8 & 10 & 2\n\\end{pmatrix}\n\\]\n\n矩阵B:\n\\[\n\\begin{pmatrix}\n 5 & 0 & 9 \\\\\n 4 & 7 & 9\n\\end{pmatrix}\n\\]\n\n答案应为2x3矩阵。按照格式要求将最终答案置于双括号内:\n示例格式:[[((...,...,...),(...,...,...))]]", "ground_truth": {"A": [[8, 5, 2], [8, 10, 2]], "B": [[5, 0, 9], [4, 7, 9]]}}
|
||
{"data_source": "KorOperationUnicode20ac", "prompt": "请计算矩阵运算A€B=2A+3B,其中:\n\n矩阵A:\n\\[\n\\begin{pmatrix}\n -5 & 1 & -11 \\\\\n -14 & -18 & -2 \\\\\n 18 & -10 & -14\n\\end{pmatrix}\n\\]\n\n矩阵B:\n\\[\n\\begin{pmatrix}\n 12 & 0 & -17 \\\\\n 19 & -19 & -13 \\\\\n 6 & -14 & -7\n\\end{pmatrix}\n\\]\n\n答案应为3x3矩阵。按照格式要求将最终答案置于双括号内:\n示例格式:[[((...,...,...),(...,...,...),(...,...,...))]]", "ground_truth": {"A": [[-5, 1, -11], [-14, -18, -2], [18, -10, -14]], "B": [[12, 0, -17], [19, -19, -13], [6, -14, -7]]}}
|
||
{"data_source": "KorOperationUnicode20ac", "prompt": "请计算矩阵运算A€B=2A+3B,其中:\n\n矩阵A:\n\\[\n\\begin{pmatrix}\n -3 & -9 \\\\\n 6 & -5\n\\end{pmatrix}\n\\]\n\n矩阵B:\n\\[\n\\begin{pmatrix}\n -3 & -7 \\\\\n -7 & -9\n\\end{pmatrix}\n\\]\n\n答案应为2x2矩阵。按照格式要求将最终答案置于双括号内:\n示例格式:[[((...,...),(...,...))]]", "ground_truth": {"A": [[-3, -9], [6, -5]], "B": [[-3, -7], [-7, -9]]}}
|
||
{"data_source": "KorOperationUnicode20ac", "prompt": "请计算矩阵运算A€B=2A+3B,其中:\n\n矩阵A:\n\\[\n\\begin{pmatrix}\n 6 & 10 \\\\\n 7 & 4\n\\end{pmatrix}\n\\]\n\n矩阵B:\n\\[\n\\begin{pmatrix}\n 2 & 7 \\\\\n 2 & 0\n\\end{pmatrix}\n\\]\n\n答案应为2x2矩阵。按照格式要求将最终答案置于双括号内:\n示例格式:[[((...,...),(...,...))]]", "ground_truth": {"A": [[6, 10], [7, 4]], "B": [[2, 7], [2, 0]]}}
|
||
{"data_source": "KorOperationUnicode20ac", "prompt": "请计算矩阵运算A€B=2A+3B,其中:\n\n矩阵A:\n\\[\n\\begin{pmatrix}\n -20 & -19 & -9 \\\\\n -4 & -18 & -12 \\\\\n 3 & 9 & 5\n\\end{pmatrix}\n\\]\n\n矩阵B:\n\\[\n\\begin{pmatrix}\n -12 & 16 & -8 \\\\\n -12 & -15 & -14 \\\\\n -7 & 13 & 10\n\\end{pmatrix}\n\\]\n\n答案应为3x3矩阵。按照格式要求将最终答案置于双括号内:\n示例格式:[[((...,...,...),(...,...,...),(...,...,...))]]", "ground_truth": {"A": [[-20, -19, -9], [-4, -18, -12], [3, 9, 5]], "B": [[-12, 16, -8], [-12, -15, -14], [-7, 13, 10]]}}
|
||
{"data_source": "KorOperationUnicode20ac", "prompt": "请计算矩阵运算A€B=2A+3B,其中:\n\n矩阵A:\n\\[\n\\begin{pmatrix}\n -7 & 7 & -6 \\\\\n 7 & 3 & 9 \\\\\n 18 & 14 & 17\n\\end{pmatrix}\n\\]\n\n矩阵B:\n\\[\n\\begin{pmatrix}\n -2 & -13 & -20 \\\\\n -15 & -4 & 0 \\\\\n -17 & 5 & 11\n\\end{pmatrix}\n\\]\n\n答案应为3x3矩阵。按照格式要求将最终答案置于双括号内:\n示例格式:[[((...,...,...),(...,...,...),(...,...,...))]]", "ground_truth": {"A": [[-7, 7, -6], [7, 3, 9], [18, 14, 17]], "B": [[-2, -13, -20], [-15, -4, 0], [-17, 5, 11]]}}
|
||
{"data_source": "KorOperationUnicode20ac", "prompt": "请计算矩阵运算A€B=2A+3B,其中:\n\n矩阵A:\n\\[\n\\begin{pmatrix}\n 2 & 2 & 2 \\\\\n 6 & 10 & 10\n\\end{pmatrix}\n\\]\n\n矩阵B:\n\\[\n\\begin{pmatrix}\n 10 & 4 & 10 \\\\\n 1 & 7 & 1\n\\end{pmatrix}\n\\]\n\n答案应为2x3矩阵。按照格式要求将最终答案置于双括号内:\n示例格式:[[((...,...,...),(...,...,...))]]", "ground_truth": {"A": [[2, 2, 2], [6, 10, 10]], "B": [[10, 4, 10], [1, 7, 1]]}}
|
||
{"data_source": "KorOperationUnicode20ac", "prompt": "请计算矩阵运算A€B=2A+3B,其中:\n\n矩阵A:\n\\[\n\\begin{pmatrix}\n 12 & 12 & 0 \\\\\n -10 & -14 & 7 \\\\\n 13 & -7 & -19\n\\end{pmatrix}\n\\]\n\n矩阵B:\n\\[\n\\begin{pmatrix}\n 6 & 3 & 4 \\\\\n -19 & -7 & -8 \\\\\n 0 & -4 & 10\n\\end{pmatrix}\n\\]\n\n答案应为3x3矩阵。按照格式要求将最终答案置于双括号内:\n示例格式:[[((...,...,...),(...,...,...),(...,...,...))]]", "ground_truth": {"A": [[12, 12, 0], [-10, -14, 7], [13, -7, -19]], "B": [[6, 3, 4], [-19, -7, -8], [0, -4, 10]]}}
|
||
{"data_source": "KorOperationUnicode20ac", "prompt": "请计算矩阵运算A€B=2A+3B,其中:\n\n矩阵A:\n\\[\n\\begin{pmatrix}\n -1 & -9 \\\\\n -1 & -7\n\\end{pmatrix}\n\\]\n\n矩阵B:\n\\[\n\\begin{pmatrix}\n -8 & -10 \\\\\n -4 & 6\n\\end{pmatrix}\n\\]\n\n答案应为2x2矩阵。按照格式要求将最终答案置于双括号内:\n示例格式:[[((...,...),(...,...))]]", "ground_truth": {"A": [[-1, -9], [-1, -7]], "B": [[-8, -10], [-4, 6]]}}
|
||
{"data_source": "KorOperationUnicode20ac", "prompt": "请计算矩阵运算A€B=2A+3B,其中:\n\n矩阵A:\n\\[\n\\begin{pmatrix}\n 16 & -15 & -2 \\\\\n -12 & 16 & -19 \\\\\n 14 & 18 & -5\n\\end{pmatrix}\n\\]\n\n矩阵B:\n\\[\n\\begin{pmatrix}\n -20 & 4 & -10 \\\\\n -1 & 6 & -8 \\\\\n 13 & -3 & -8\n\\end{pmatrix}\n\\]\n\n答案应为3x3矩阵。按照格式要求将最终答案置于双括号内:\n示例格式:[[((...,...,...),(...,...,...),(...,...,...))]]", "ground_truth": {"A": [[16, -15, -2], [-12, 16, -19], [14, 18, -5]], "B": [[-20, 4, -10], [-1, 6, -8], [13, -3, -8]]}}
|
||
{"data_source": "KorOperationUnicode20ac", "prompt": "请计算矩阵运算A€B=2A+3B,其中:\n\n矩阵A:\n\\[\n\\begin{pmatrix}\n 7 & -3 \\\\\n -4 & -5\n\\end{pmatrix}\n\\]\n\n矩阵B:\n\\[\n\\begin{pmatrix}\n 3 & 8 \\\\\n 5 & 9\n\\end{pmatrix}\n\\]\n\n答案应为2x2矩阵。按照格式要求将最终答案置于双括号内:\n示例格式:[[((...,...),(...,...))]]", "ground_truth": {"A": [[7, -3], [-4, -5]], "B": [[3, 8], [5, 9]]}}
|
||
{"data_source": "KorOperationUnicode20ac", "prompt": "请计算矩阵运算A€B=2A+3B,其中:\n\n矩阵A:\n\\[\n\\begin{pmatrix}\n 1 & 6 \\\\\n 6 & -10\n\\end{pmatrix}\n\\]\n\n矩阵B:\n\\[\n\\begin{pmatrix}\n 5 & -4 \\\\\n -9 & -1\n\\end{pmatrix}\n\\]\n\n答案应为2x2矩阵。按照格式要求将最终答案置于双括号内:\n示例格式:[[((...,...),(...,...))]]", "ground_truth": {"A": [[1, 6], [6, -10]], "B": [[5, -4], [-9, -1]]}}
|
||
{"data_source": "KorOperationUnicode20ac", "prompt": "请计算矩阵运算A€B=2A+3B,其中:\n\n矩阵A:\n\\[\n\\begin{pmatrix}\n 2 & 9 \\\\\n 4 & 2\n\\end{pmatrix}\n\\]\n\n矩阵B:\n\\[\n\\begin{pmatrix}\n 9 & 8 \\\\\n 0 & -3\n\\end{pmatrix}\n\\]\n\n答案应为2x2矩阵。按照格式要求将最终答案置于双括号内:\n示例格式:[[((...,...),(...,...))]]", "ground_truth": {"A": [[2, 9], [4, 2]], "B": [[9, 8], [0, -3]]}}
|
||
{"data_source": "KorOperationUnicode20ac", "prompt": "请计算矩阵运算A€B=2A+3B,其中:\n\n矩阵A:\n\\[\n\\begin{pmatrix}\n 6 & -3 \\\\\n 5 & -5\n\\end{pmatrix}\n\\]\n\n矩阵B:\n\\[\n\\begin{pmatrix}\n -5 & 6 \\\\\n 1 & 0\n\\end{pmatrix}\n\\]\n\n答案应为2x2矩阵。按照格式要求将最终答案置于双括号内:\n示例格式:[[((...,...),(...,...))]]", "ground_truth": {"A": [[6, -3], [5, -5]], "B": [[-5, 6], [1, 0]]}}
|
||
{"data_source": "KorOperationUnicode20ac", "prompt": "请计算矩阵运算A€B=2A+3B,其中:\n\n矩阵A:\n\\[\n\\begin{pmatrix}\n -4 & 1 \\\\\n 8 & 4\n\\end{pmatrix}\n\\]\n\n矩阵B:\n\\[\n\\begin{pmatrix}\n -4 & -4 \\\\\n 5 & 4\n\\end{pmatrix}\n\\]\n\n答案应为2x2矩阵。按照格式要求将最终答案置于双括号内:\n示例格式:[[((...,...),(...,...))]]", "ground_truth": {"A": [[-4, 1], [8, 4]], "B": [[-4, -4], [5, 4]]}}
|
||
{"data_source": "KorOperationUnicode20ac", "prompt": "请计算矩阵运算A€B=2A+3B,其中:\n\n矩阵A:\n\\[\n\\begin{pmatrix}\n 7 & 7 & 2 \\\\\n 8 & 8 & 4\n\\end{pmatrix}\n\\]\n\n矩阵B:\n\\[\n\\begin{pmatrix}\n 2 & 6 & 2 \\\\\n 8 & 2 & 6\n\\end{pmatrix}\n\\]\n\n答案应为2x3矩阵。按照格式要求将最终答案置于双括号内:\n示例格式:[[((...,...,...),(...,...,...))]]", "ground_truth": {"A": [[7, 7, 2], [8, 8, 4]], "B": [[2, 6, 2], [8, 2, 6]]}}
|
||
{"data_source": "KorOperationUnicode20ac", "prompt": "请计算矩阵运算A€B=2A+3B,其中:\n\n矩阵A:\n\\[\n\\begin{pmatrix}\n 5 & 4 \\\\\n -4 & 6\n\\end{pmatrix}\n\\]\n\n矩阵B:\n\\[\n\\begin{pmatrix}\n -1 & -7 \\\\\n -2 & 0\n\\end{pmatrix}\n\\]\n\n答案应为2x2矩阵。按照格式要求将最终答案置于双括号内:\n示例格式:[[((...,...),(...,...))]]", "ground_truth": {"A": [[5, 4], [-4, 6]], "B": [[-1, -7], [-2, 0]]}}
|
||
{"data_source": "KorOperationUnicode20ac", "prompt": "请计算矩阵运算A€B=2A+3B,其中:\n\n矩阵A:\n\\[\n\\begin{pmatrix}\n 10 & 7 & 9 \\\\\n 5 & 0 & 9\n\\end{pmatrix}\n\\]\n\n矩阵B:\n\\[\n\\begin{pmatrix}\n 0 & 0 & 4 \\\\\n 3 & 2 & 9\n\\end{pmatrix}\n\\]\n\n答案应为2x3矩阵。按照格式要求将最终答案置于双括号内:\n示例格式:[[((...,...,...),(...,...,...))]]", "ground_truth": {"A": [[10, 7, 9], [5, 0, 9]], "B": [[0, 0, 4], [3, 2, 9]]}}
|
||
{"data_source": "KorOperationUnicode20ac", "prompt": "请计算矩阵运算A€B=2A+3B,其中:\n\n矩阵A:\n\\[\n\\begin{pmatrix}\n 17 & -6 & 16 \\\\\n 5 & 8 & -13 \\\\\n -17 & 19 & -8\n\\end{pmatrix}\n\\]\n\n矩阵B:\n\\[\n\\begin{pmatrix}\n 19 & 3 & -15 \\\\\n 15 & -10 & 12 \\\\\n 18 & -5 & 6\n\\end{pmatrix}\n\\]\n\n答案应为3x3矩阵。按照格式要求将最终答案置于双括号内:\n示例格式:[[((...,...,...),(...,...,...),(...,...,...))]]", "ground_truth": {"A": [[17, -6, 16], [5, 8, -13], [-17, 19, -8]], "B": [[19, 3, -15], [15, -10, 12], [18, -5, 6]]}}
|
||
{"data_source": "KorOperationUnicode20ac", "prompt": "请计算矩阵运算A€B=2A+3B,其中:\n\n矩阵A:\n\\[\n\\begin{pmatrix}\n -14 & -10 & -8 \\\\\n 6 & -7 & -16 \\\\\n 5 & 15 & -13\n\\end{pmatrix}\n\\]\n\n矩阵B:\n\\[\n\\begin{pmatrix}\n -5 & -4 & -11 \\\\\n 1 & -14 & -13 \\\\\n 20 & 9 & 5\n\\end{pmatrix}\n\\]\n\n答案应为3x3矩阵。按照格式要求将最终答案置于双括号内:\n示例格式:[[((...,...,...),(...,...,...),(...,...,...))]]", "ground_truth": {"A": [[-14, -10, -8], [6, -7, -16], [5, 15, -13]], "B": [[-5, -4, -11], [1, -14, -13], [20, 9, 5]]}}
|
||
{"data_source": "KorOperationUnicode20ac", "prompt": "请计算矩阵运算A€B=2A+3B,其中:\n\n矩阵A:\n\\[\n\\begin{pmatrix}\n 1 & 4 & 1 \\\\\n 4 & 6 & 4\n\\end{pmatrix}\n\\]\n\n矩阵B:\n\\[\n\\begin{pmatrix}\n 2 & 2 & 8 \\\\\n 3 & 3 & 3\n\\end{pmatrix}\n\\]\n\n答案应为2x3矩阵。按照格式要求将最终答案置于双括号内:\n示例格式:[[((...,...,...),(...,...,...))]]", "ground_truth": {"A": [[1, 4, 1], [4, 6, 4]], "B": [[2, 2, 8], [3, 3, 3]]}}
|
||
{"data_source": "KorOperationUnicode20ac", "prompt": "请计算矩阵运算A€B=2A+3B,其中:\n\n矩阵A:\n\\[\n\\begin{pmatrix}\n -3 & -4 \\\\\n -9 & 7\n\\end{pmatrix}\n\\]\n\n矩阵B:\n\\[\n\\begin{pmatrix}\n -4 & -9 \\\\\n 3 & -2\n\\end{pmatrix}\n\\]\n\n答案应为2x2矩阵。按照格式要求将最终答案置于双括号内:\n示例格式:[[((...,...),(...,...))]]", "ground_truth": {"A": [[-3, -4], [-9, 7]], "B": [[-4, -9], [3, -2]]}}
|
||
{"data_source": "KorOperationUnicode20ac", "prompt": "请计算矩阵运算A€B=2A+3B,其中:\n\n矩阵A:\n\\[\n\\begin{pmatrix}\n 4 & 1 & 0 \\\\\n 2 & 6 & 4\n\\end{pmatrix}\n\\]\n\n矩阵B:\n\\[\n\\begin{pmatrix}\n 0 & 8 & 4 \\\\\n 7 & 9 & 5\n\\end{pmatrix}\n\\]\n\n答案应为2x3矩阵。按照格式要求将最终答案置于双括号内:\n示例格式:[[((...,...,...),(...,...,...))]]", "ground_truth": {"A": [[4, 1, 0], [2, 6, 4]], "B": [[0, 8, 4], [7, 9, 5]]}}
|