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C4.19. Element pl-matrix-input: Matrix algebra with complex values

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

A = [0.90+0.00j 0.10+0.30j 0.10-0.30j; -0.10+0.20j -0.90+0.10j -1.00-0.60j];
B = [-0.50+0.00j -0.50+0.10j -0.90+0.40j; -0.50+0.80j -0.90-0.50j -0.70+0.10j; 0.30-0.10j -0.40-0.70j -1.00-0.40j];

A = {{0.90+0.00j, 0.10+0.30j, 0.10-0.30j}, {-0.10+0.20j, -0.90+0.10j, -1.00-0.60j}};
B = {{-0.50+0.00j, -0.50+0.10j, -0.90+0.40j}, {-0.50+0.80j, -0.90-0.50j, -0.70+0.10j}, {0.30-0.10j, -0.40-0.70j, -1.00-0.40j}};

import numpy as np

A = np.array([[0.90+0.00j, 0.10+0.30j, 0.10-0.30j], [-0.10+0.20j, -0.90+0.10j, -1.00-0.60j]])
B = np.array([[-0.50+0.00j, -0.50+0.10j, -0.90+0.40j], [-0.50+0.80j, -0.90-0.50j, -0.70+0.10j], [0.30-0.10j, -0.40-0.70j, -1.00-0.40j]])

A = matrix(c(0.90+0.00j, 0.10+0.30j, 0.10-0.30j, -0.10+0.20j, -0.90+0.10j, -1.00-0.60j), nrow = 2, ncol = 3, byrow = TRUE)
B = matrix(c(-0.50+0.00j, -0.50+0.10j, -0.90+0.40j, -0.50+0.80j, -0.90-0.50j, -0.70+0.10j, 0.30-0.10j, -0.40-0.70j, -1.00-0.40j), nrow = 3, ncol = 3, byrow = TRUE)

from sympy import *

A = Matrix([[0.90+0.00j, 0.10+0.30j, 0.10-0.30j], [-0.10+0.20j, -0.90+0.10j, -1.00-0.60j]])
B = Matrix([[-0.50+0.00j, -0.50+0.10j, -0.90+0.40j], [-0.50+0.80j, -0.90-0.50j, -0.70+0.10j], [0.30-0.10j, -0.40-0.70j, -1.00-0.40j]])

Find the product of these two matrices:

$AB=$

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Question C4.19

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Question

QID:

demo/matrixComplexAlgebra

Title:

Element pl-matrix-input: Matrix algebra with complex values

Variant

Started at:

2026-08-04 16:37:50 (CDT)

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{
  "C": {
    "_type": "complex_ndarray",
    "_dtype": "complex128",
    "_value": {
      "imag": [
        [
          -0.16999999999999998,
          -0.18000000000000002,
          0.42000000000000004
        ],
        [
          -0.9500000000000002,
          1.19,
          0.62
        ]
      ],
      "real": [
        [
          -0.74,
          -0.64,
          -1.13
        ],
        [
          0.06,
          0.8700000000000003,
          1.39
        ]
      ]
    }
  }
}

Assessment instance

Assessment:

gallery/elements