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This question provides two matrices as both NumPy and MATLAB variables using the <pl-variable-output> element. The entries of the matrices are randomly generated. Students are asked to compute the product of these two matrices, and provide their answer using either NumPy or MATLAB format. The generated matrices are converted to JSON format with pl.to_json(...) for storage in data["params"] and data["correct_answers"].

Matrix input: random parameters and correct answer

Two matrices $A$ and $B$ are given as follows:

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A = [-1.0 -0.7 0.7 0.4 1.0; -0.2 0.9 0.8 0.2 0.9; 0.3 -0.6 0.3 0.2 -0.7; 0.1 0.9 0.0 0.2 0.2];
B = [0.1 0.1 -0.2 -0.3; 0.8 -0.5 0.1 -0.3; 1.0 0.8 -0.1 -0.7; -1.0 -0.9 0.6 -0.1; -0.7 -0.9 -0.1 -0.8];

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import numpy as np

A = np.array([[-1.0, -0.7, 0.7, 0.4, 1.0], [-0.2, 0.9, 0.8, 0.2, 0.9], [0.3, -0.6, 0.3, 0.2, -0.7], [0.1, 0.9, 0.0, 0.2, 0.2]])
B = np.array([[0.1, 0.1, -0.2, -0.3], [0.8, -0.5, 0.1, -0.3], [1.0, 0.8, -0.1, -0.7], [-1.0, -0.9, 0.6, -0.1], [-0.7, -0.9, -0.1, -0.8]])

Find the product of these two matrices:

Correct answer

$AB=$ [-1.06 -0.450 0.200 -0.820; 0.670 -0.820 0.0800 -1.51; 0.140 1.02 0.0400 0.420; 0.390 -0.800 0.170 -0.480]

$AB=$ [[-1.06, -0.450, 0.200, -0.820], [0.670, -0.820, 0.0800, -1.51], [0.140, 1.02, 0.0400, 0.420], [0.390, -0.800, 0.170, -0.480]]

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Question

QID:
Title:
Matrix input: random parameters and correct answer

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Started at:
2026-08-05 01:00:01 (CDT)
Duration:
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{
  "C": {
    "_type": "ndarray",
    "_dtype": "float64",
    "_value": [
      [
        -1.06,
        -0.4500000000000001,
        0.19999999999999998,
        -0.82
      ],
      [
        0.67,
        -0.8200000000000001,
        0.07999999999999997,
        -1.51
      ],
      [
        0.1399999999999999,
        1.02,
        0.04000000000000001,
        0.42
      ],
      [
        0.39,
        -0.8,
        0.17,
        -0.48000000000000004
      ]
    ]
  }
}
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