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64 lines
31 KiB
JSON
Executable file
64 lines
31 KiB
JSON
Executable file
{"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 \\\\\n -7 & 1\n\\end{pmatrix}\n\\]\n\n矩阵B:\n\\[\n\\begin{pmatrix}\n 10 & 1 \\\\\n -2 & -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": [[6, -9], [-7, 1]], "B": [[10, 1], [-2, -10]]}}
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{"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 & 4 \\\\\n 4 & 3 & 4\n\\end{pmatrix}\n\\]\n\n矩阵B:\n\\[\n\\begin{pmatrix}\n 6 & 2 & 9 \\\\\n 9 & 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": [[7, 1, 4], [4, 3, 4]], "B": [[6, 2, 9], [9, 4, 1]]}}
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{"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 & 8 \\\\\n 6 & 5 & 6\n\\end{pmatrix}\n\\]\n\n矩阵B:\n\\[\n\\begin{pmatrix}\n 0 & 9 & 3 \\\\\n 5 & 2 & 10\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, 8, 8], [6, 5, 6]], "B": [[0, 9, 3], [5, 2, 10]]}}
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{"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 & -1 \\\\\n 5 & 2\n\\end{pmatrix}\n\\]\n\n矩阵B:\n\\[\n\\begin{pmatrix}\n 4 & 2 \\\\\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": [[2, -1], [5, 2]], "B": [[4, 2], [9, 1]]}}
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{"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 \\\\\n 10 & 4\n\\end{pmatrix}\n\\]\n\n矩阵B:\n\\[\n\\begin{pmatrix}\n -3 & 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": [[6, -2], [10, 4]], "B": [[-3, 1], [-10, -3]]}}
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{"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 & 10 \\\\\n -5 & -7\n\\end{pmatrix}\n\\]\n\n矩阵B:\n\\[\n\\begin{pmatrix}\n -7 & -7 \\\\\n 4 & -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": [[5, 10], [-5, -7]], "B": [[-7, -7], [4, -2]]}}
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{"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 & -11 & -16 \\\\\n -6 & -11 & 9 \\\\\n 8 & 1 & -18\n\\end{pmatrix}\n\\]\n\n矩阵B:\n\\[\n\\begin{pmatrix}\n 6 & -14 & -19 \\\\\n -4 & 5 & -7 \\\\\n -20 & 19 & 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": [[-10, -11, -16], [-6, -11, 9], [8, 1, -18]], "B": [[6, -14, -19], [-4, 5, -7], [-20, 19, 16]]}}
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{"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 & 9 \\\\\n 7 & 3 & 10\n\\end{pmatrix}\n\\]\n\n矩阵B:\n\\[\n\\begin{pmatrix}\n 8 & 2 & 3 \\\\\n 10 & 7 & 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": [[3, 2, 9], [7, 3, 10]], "B": [[8, 2, 3], [10, 7, 8]]}}
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{"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 & -16 & 4 \\\\\n -18 & 1 & -20 \\\\\n -20 & -5 & 20\n\\end{pmatrix}\n\\]\n\n矩阵B:\n\\[\n\\begin{pmatrix}\n 10 & 14 & -4 \\\\\n -2 & 14 & -12 \\\\\n -2 & 19 & 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": [[-17, -16, 4], [-18, 1, -20], [-20, -5, 20]], "B": [[10, 14, -4], [-2, 14, -12], [-2, 19, 15]]}}
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{"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 -19 & 20 & 2 \\\\\n -10 & 14 & -4 \\\\\n 7 & 1 & 14\n\\end{pmatrix}\n\\]\n\n矩阵B:\n\\[\n\\begin{pmatrix}\n -9 & -1 & -4 \\\\\n -3 & -13 & 6 \\\\\n -15 & -13 & -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": [[-19, 20, 2], [-10, 14, -4], [7, 1, 14]], "B": [[-9, -1, -4], [-3, -13, 6], [-15, -13, -8]]}}
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{"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 & 7 \\\\\n 6 & -8\n\\end{pmatrix}\n\\]\n\n矩阵B:\n\\[\n\\begin{pmatrix}\n -10 & -5 \\\\\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": [[-6, 7], [6, -8]], "B": [[-10, -5], [-1, -1]]}}
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{"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 & 10 \\\\\n 8 & 4 & 4\n\\end{pmatrix}\n\\]\n\n矩阵B:\n\\[\n\\begin{pmatrix}\n 10 & 6 & 8 \\\\\n 5 & 7 & 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": [[4, 9, 10], [8, 4, 4]], "B": [[10, 6, 8], [5, 7, 7]]}}
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{"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 & 8 \\\\\n 9 & 0 & 6\n\\end{pmatrix}\n\\]\n\n矩阵B:\n\\[\n\\begin{pmatrix}\n 7 & 4 & 5 \\\\\n 1 & 1 & 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": [[1, 0, 8], [9, 0, 6]], "B": [[7, 4, 5], [1, 1, 0]]}}
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{"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 & 3 & 9 \\\\\n 10 & 7 & 1\n\\end{pmatrix}\n\\]\n\n矩阵B:\n\\[\n\\begin{pmatrix}\n 1 & 2 & 3 \\\\\n 7 & 1 & 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": [[9, 3, 9], [10, 7, 1]], "B": [[1, 2, 3], [7, 1, 3]]}}
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{"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 & 0 \\\\\n 2 & 5\n\\end{pmatrix}\n\\]\n\n矩阵B:\n\\[\n\\begin{pmatrix}\n 3 & -2 \\\\\n 3 & 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": [[-2, 0], [2, 5]], "B": [[3, -2], [3, 9]]}}
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{"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 19 & 0 & -9 \\\\\n 1 & -14 & 13 \\\\\n -1 & 17 & 4\n\\end{pmatrix}\n\\]\n\n矩阵B:\n\\[\n\\begin{pmatrix}\n -3 & -4 & 8 \\\\\n 13 & 10 & 0 \\\\\n -19 & -16 & 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": [[19, 0, -9], [1, -14, 13], [-1, 17, 4]], "B": [[-3, -4, 8], [13, 10, 0], [-19, -16, 20]]}}
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{"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 8 & 2\n\\end{pmatrix}\n\\]\n\n矩阵B:\n\\[\n\\begin{pmatrix}\n -3 & -5 \\\\\n 9 & -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": [[-6, 10], [8, 2]], "B": [[-3, -5], [9, -9]]}}
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{"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 & 4 & -9 \\\\\n -15 & -14 & 13 \\\\\n 10 & 0 & 14\n\\end{pmatrix}\n\\]\n\n矩阵B:\n\\[\n\\begin{pmatrix}\n 17 & 9 & 7 \\\\\n 13 & -3 & 16 \\\\\n 19 & 17 & -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": [[12, 4, -9], [-15, -14, 13], [10, 0, 14]], "B": [[17, 9, 7], [13, -3, 16], [19, 17, -6]]}}
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{"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 1 & 7\n\\end{pmatrix}\n\\]\n\n矩阵B:\n\\[\n\\begin{pmatrix}\n 9 & -8 \\\\\n 10 & 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": [[7, 8], [1, 7]], "B": [[9, -8], [10, 7]]}}
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{"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 & 0\n\\end{pmatrix}\n\\]\n\n矩阵B:\n\\[\n\\begin{pmatrix}\n -5 & 10 \\\\\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": [[4, 1], [8, 0]], "B": [[-5, 10], [4, -4]]}}
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{"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 & 9 & 6 \\\\\n 8 & 9 & 1\n\\end{pmatrix}\n\\]\n\n矩阵B:\n\\[\n\\begin{pmatrix}\n 1 & 5 & 10 \\\\\n 5 & 10 & 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": [[7, 9, 6], [8, 9, 1]], "B": [[1, 5, 10], [5, 10, 1]]}}
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{"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 & 10 \\\\\n 4 & 4 & 7\n\\end{pmatrix}\n\\]\n\n矩阵B:\n\\[\n\\begin{pmatrix}\n 4 & 4 & 7 \\\\\n 1 & 3 & 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, 4, 10], [4, 4, 7]], "B": [[4, 4, 7], [1, 3, 6]]}}
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{"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 & 9 \\\\\n 8 & 10\n\\end{pmatrix}\n\\]\n\n矩阵B:\n\\[\n\\begin{pmatrix}\n 3 & 10 \\\\\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": [[8, 9], [8, 10]], "B": [[3, 10], [-1, 2]]}}
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{"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 & 8 & 10 \\\\\n 8 & 10 & 1\n\\end{pmatrix}\n\\]\n\n矩阵B:\n\\[\n\\begin{pmatrix}\n 8 & 9 & 2 \\\\\n 3 & 1 & 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": [[8, 8, 10], [8, 10, 1]], "B": [[8, 9, 2], [3, 1, 3]]}}
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{"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 7 & 7\n\\end{pmatrix}\n\\]\n\n矩阵B:\n\\[\n\\begin{pmatrix}\n -2 & 6 \\\\\n -8 & 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": [[5, -2], [7, 7]], "B": [[-2, 6], [-8, 5]]}}
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{"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 4 & 9\n\\end{pmatrix}\n\\]\n\n矩阵B:\n\\[\n\\begin{pmatrix}\n 7 & 4 \\\\\n 3 & 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": [[-1, 6], [4, 9]], "B": [[7, 4], [3, 7]]}}
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{"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 -9 & -7\n\\end{pmatrix}\n\\]\n\n矩阵B:\n\\[\n\\begin{pmatrix}\n -2 & -2 \\\\\n 7 & 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], [-9, -7]], "B": [[-2, -2], [7, 10]]}}
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{"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 \\\\\n 4 & 1\n\\end{pmatrix}\n\\]\n\n矩阵B:\n\\[\n\\begin{pmatrix}\n -2 & 9 \\\\\n 6 & -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, 9], [4, 1]], "B": [[-2, 9], [6, -4]]}}
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{"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 & 0 & 7 \\\\\n 10 & 8 & 0\n\\end{pmatrix}\n\\]\n\n矩阵B:\n\\[\n\\begin{pmatrix}\n 7 & 6 & 8 \\\\\n 1 & 0 & 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": [[5, 0, 7], [10, 8, 0]], "B": [[7, 6, 8], [1, 0, 6]]}}
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{"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 & -15 & 6 \\\\\n -12 & -17 & -12 \\\\\n 4 & -2 & -8\n\\end{pmatrix}\n\\]\n\n矩阵B:\n\\[\n\\begin{pmatrix}\n -2 & -4 & 20 \\\\\n 13 & -13 & -12 \\\\\n 13 & 17 & 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": [[17, -15, 6], [-12, -17, -12], [4, -2, -8]], "B": [[-2, -4, 20], [13, -13, -12], [13, 17, 10]]}}
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{"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 & 9 \\\\\n -5 & 0\n\\end{pmatrix}\n\\]\n\n矩阵B:\n\\[\n\\begin{pmatrix}\n -10 & -3 \\\\\n -9 & -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": [[7, 9], [-5, 0]], "B": [[-10, -3], [-9, -7]]}}
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{"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 & 2 \\\\\n 2 & 1 & 3\n\\end{pmatrix}\n\\]\n\n矩阵B:\n\\[\n\\begin{pmatrix}\n 0 & 4 & 5 \\\\\n 8 & 8 & 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": [[4, 9, 2], [2, 1, 3]], "B": [[0, 4, 5], [8, 8, 7]]}}
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{"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 & 9 \\\\\n 9 & 0 & 8\n\\end{pmatrix}\n\\]\n\n矩阵B:\n\\[\n\\begin{pmatrix}\n 2 & 4 & 7 \\\\\n 9 & 2 & 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": [[1, 5, 9], [9, 0, 8]], "B": [[2, 4, 7], [9, 2, 8]]}}
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{"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 & -8 \\\\\n 9 & 3\n\\end{pmatrix}\n\\]\n\n矩阵B:\n\\[\n\\begin{pmatrix}\n 0 & -3 \\\\\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": [[5, -8], [9, 3]], "B": [[0, -3], [3, -1]]}}
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{"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 \\\\\n 8 & -9\n\\end{pmatrix}\n\\]\n\n矩阵B:\n\\[\n\\begin{pmatrix}\n 5 & -3 \\\\\n -1 & -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": [[-1, -4], [8, -9]], "B": [[5, -3], [-1, -3]]}}
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{"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 & 10 \\\\\n -2 & 5\n\\end{pmatrix}\n\\]\n\n矩阵B:\n\\[\n\\begin{pmatrix}\n -4 & -2 \\\\\n -2 & -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": [[-2, 10], [-2, 5]], "B": [[-4, -2], [-2, -5]]}}
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{"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 & -1 & 14 \\\\\n 6 & -9 & 5 \\\\\n 20 & 13 & 9\n\\end{pmatrix}\n\\]\n\n矩阵B:\n\\[\n\\begin{pmatrix}\n 2 & -8 & 6 \\\\\n 5 & 9 & 2 \\\\\n -4 & 19 & -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": [[-20, -1, 14], [6, -9, 5], [20, 13, 9]], "B": [[2, -8, 6], [5, 9, 2], [-4, 19, -20]]}}
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{"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 & 2 & 5 \\\\\n -5 & 15 & 1 \\\\\n 19 & 10 & 11\n\\end{pmatrix}\n\\]\n\n矩阵B:\n\\[\n\\begin{pmatrix}\n 5 & -6 & 18 \\\\\n -18 & 9 & 9 \\\\\n 4 & -20 & -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": [[-17, 2, 5], [-5, 15, 1], [19, 10, 11]], "B": [[5, -6, 18], [-18, 9, 9], [4, -20, -13]]}}
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{"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 & 8 & 8 \\\\\n 9 & 5 & 1\n\\end{pmatrix}\n\\]\n\n矩阵B:\n\\[\n\\begin{pmatrix}\n 3 & 6 & 6 \\\\\n 7 & 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": [[0, 8, 8], [9, 5, 1]], "B": [[3, 6, 6], [7, 5, 2]]}}
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{"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 \\\\\n -3 & -3\n\\end{pmatrix}\n\\]\n\n矩阵B:\n\\[\n\\begin{pmatrix}\n 1 & 0 \\\\\n 1 & 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": [[8, 5], [-3, -3]], "B": [[1, 0], [1, 4]]}}
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{"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 & 4 \\\\\n 12 & 9 & -20 \\\\\n -14 & 0 & -8\n\\end{pmatrix}\n\\]\n\n矩阵B:\n\\[\n\\begin{pmatrix}\n -17 & 14 & 6 \\\\\n 4 & 20 & -16 \\\\\n 10 & -11 & -18\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, -8, 4], [12, 9, -20], [-14, 0, -8]], "B": [[-17, 14, 6], [4, 20, -16], [10, -11, -18]]}}
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{"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 & 9 \\\\\n 2 & 10 & 7\n\\end{pmatrix}\n\\]\n\n矩阵B:\n\\[\n\\begin{pmatrix}\n 10 & 6 & 10 \\\\\n 10 & 5 & 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": [[9, 5, 9], [2, 10, 7]], "B": [[10, 6, 10], [10, 5, 4]]}}
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{"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 3 & 8\n\\end{pmatrix}\n\\]\n\n矩阵B:\n\\[\n\\begin{pmatrix}\n 5 & -5 \\\\\n 0 & 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": [[-1, -5], [3, 8]], "B": [[5, -5], [0, 7]]}}
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{"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 & 13 & -1 \\\\\n -18 & -4 & -7 \\\\\n -17 & 2 & -6\n\\end{pmatrix}\n\\]\n\n矩阵B:\n\\[\n\\begin{pmatrix}\n -6 & 18 & 19 \\\\\n -18 & 20 & 9 \\\\\n -8 & -14 & 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": [[6, 13, -1], [-18, -4, -7], [-17, 2, -6]], "B": [[-6, 18, 19], [-18, 20, 9], [-8, -14, 6]]}}
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{"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 3 & 2\n\\end{pmatrix}\n\\]\n\n矩阵B:\n\\[\n\\begin{pmatrix}\n -4 & 9 \\\\\n -4 & -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, 5], [3, 2]], "B": [[-4, 9], [-4, -1]]}}
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{"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 & 3 & 1 \\\\\n 1 & 7 & 7\n\\end{pmatrix}\n\\]\n\n矩阵B:\n\\[\n\\begin{pmatrix}\n 10 & 1 & 2 \\\\\n 6 & 7 & 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": [[0, 3, 1], [1, 7, 7]], "B": [[10, 1, 2], [6, 7, 7]]}}
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{"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 & 4\n\\end{pmatrix}\n\\]\n\n矩阵B:\n\\[\n\\begin{pmatrix}\n 9 & 5 \\\\\n 3 & 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": [[-7, -3], [-4, 4]], "B": [[9, 5], [3, 4]]}}
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{"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 \\\\\n 3 & 7\n\\end{pmatrix}\n\\]\n\n矩阵B:\n\\[\n\\begin{pmatrix}\n 4 & 8 \\\\\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, -3], [3, 7]], "B": [[4, 8], [5, -8]]}}
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{"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 & 1 \\\\\n -9 & 5\n\\end{pmatrix}\n\\]\n\n矩阵B:\n\\[\n\\begin{pmatrix}\n 0 & 2 \\\\\n 9 & 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, 1], [-9, 5]], "B": [[0, 2], [9, 3]]}}
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{"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 \\\\\n 8 & 3\n\\end{pmatrix}\n\\]\n\n矩阵B:\n\\[\n\\begin{pmatrix}\n 10 & 5 \\\\\n 9 & -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": [[-4, 9], [8, 3]], "B": [[10, 5], [9, -5]]}}
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{"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 & 18 & 10 \\\\\n -19 & 20 & 9 \\\\\n 0 & -17 & 0\n\\end{pmatrix}\n\\]\n\n矩阵B:\n\\[\n\\begin{pmatrix}\n -11 & 6 & -7 \\\\\n 1 & 1 & 0 \\\\\n -12 & -9 & 19\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, 18, 10], [-19, 20, 9], [0, -17, 0]], "B": [[-11, 6, -7], [1, 1, 0], [-12, -9, 19]]}}
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{"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 & -4 \\\\\n -8 & 4 & -19 \\\\\n 10 & 6 & 11\n\\end{pmatrix}\n\\]\n\n矩阵B:\n\\[\n\\begin{pmatrix}\n 2 & 10 & -19 \\\\\n 7 & -12 & 5 \\\\\n 12 & 14 & 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": [[-7, -8, -4], [-8, 4, -19], [10, 6, 11]], "B": [[2, 10, -19], [7, -12, 5], [12, 14, 10]]}}
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{"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 & 4 \\\\\n 2 & 6 & 6\n\\end{pmatrix}\n\\]\n\n矩阵B:\n\\[\n\\begin{pmatrix}\n 2 & 3 & 1 \\\\\n 9 & 6 & 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": [[8, 6, 4], [2, 6, 6]], "B": [[2, 3, 1], [9, 6, 3]]}}
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{"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 & 16 & 1 \\\\\n 5 & 0 & -20 \\\\\n -5 & -5 & -12\n\\end{pmatrix}\n\\]\n\n矩阵B:\n\\[\n\\begin{pmatrix}\n -4 & -10 & -14 \\\\\n -2 & -10 & 12 \\\\\n -18 & -11 & 2\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, 16, 1], [5, 0, -20], [-5, -5, -12]], "B": [[-4, -10, -14], [-2, -10, 12], [-18, -11, 2]]}}
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{"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 -19 & 7 & -8 \\\\\n 16 & 11 & 10 \\\\\n -5 & 3 & 4\n\\end{pmatrix}\n\\]\n\n矩阵B:\n\\[\n\\begin{pmatrix}\n -11 & -13 & -9 \\\\\n 12 & 9 & -4 \\\\\n 11 & -15 & 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": [[-19, 7, -8], [16, 11, 10], [-5, 3, 4]], "B": [[-11, -13, -9], [12, 9, -4], [11, -15, 16]]}}
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{"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 & -5 \\\\\n 3 & 8\n\\end{pmatrix}\n\\]\n\n矩阵B:\n\\[\n\\begin{pmatrix}\n 10 & 3 \\\\\n 0 & -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": [[2, -5], [3, 8]], "B": [[10, 3], [0, -4]]}}
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{"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 4 & -1\n\\end{pmatrix}\n\\]\n\n矩阵B:\n\\[\n\\begin{pmatrix}\n -9 & 1 \\\\\n 6 & 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": [[1, 10], [4, -1]], "B": [[-9, 1], [6, 3]]}}
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{"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 & 7 \\\\\n 5 & 7\n\\end{pmatrix}\n\\]\n\n矩阵B:\n\\[\n\\begin{pmatrix}\n -1 & 10 \\\\\n -3 & 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": [[9, 7], [5, 7]], "B": [[-1, 10], [-3, 10]]}}
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{"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 & -12 & 12 \\\\\n 7 & 1 & -11 \\\\\n -11 & -3 & 6\n\\end{pmatrix}\n\\]\n\n矩阵B:\n\\[\n\\begin{pmatrix}\n 13 & 1 & -5 \\\\\n 7 & 5 & 7 \\\\\n 14 & 18 & 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": [[-5, -12, 12], [7, 1, -11], [-11, -3, 6]], "B": [[13, 1, -5], [7, 5, 7], [14, 18, 6]]}}
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{"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 \\\\\n 2 & 6\n\\end{pmatrix}\n\\]\n\n矩阵B:\n\\[\n\\begin{pmatrix}\n 8 & 8 \\\\\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": [[8, -5], [2, 6]], "B": [[8, 8], [-3, -3]]}}
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{"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 & 5\n\\end{pmatrix}\n\\]\n\n矩阵B:\n\\[\n\\begin{pmatrix}\n 9 & 0 \\\\\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": [[-2, 9], [-4, 5]], "B": [[9, 0], [-2, 4]]}}
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{"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 2 & 2\n\\end{pmatrix}\n\\]\n\n矩阵B:\n\\[\n\\begin{pmatrix}\n 2 & 3 \\\\\n 2 & -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": [[-4, 1], [2, 2]], "B": [[2, 3], [2, -5]]}}
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{"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 & 10 \\\\\n -1 & 9\n\\end{pmatrix}\n\\]\n\n矩阵B:\n\\[\n\\begin{pmatrix}\n 9 & 4 \\\\\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": [[-2, 10], [-1, 9]], "B": [[9, 4], [-5, -1]]}}
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{"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 & -5 & -7 \\\\\n -3 & -15 & -5 \\\\\n 20 & 2 & 19\n\\end{pmatrix}\n\\]\n\n矩阵B:\n\\[\n\\begin{pmatrix}\n -15 & 6 & -12 \\\\\n -18 & -1 & 17 \\\\\n 13 & -10 & -18\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, -5, -7], [-3, -15, -5], [20, 2, 19]], "B": [[-15, 6, -12], [-18, -1, 17], [13, -10, -18]]}}
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