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

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

import numpy as np

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

A = matrix(c(-0.60-0.20j, 1.00+1.00j, 0.00+0.80j, -0.40-0.80j, -0.10+0.70j), nrow = 1, ncol = 5, byrow = TRUE)
B = matrix(c(-0.50+1.00j, 0.90-0.90j, 0.80+0.30j, -0.40-0.20j, 0.70+0.40j, 0.20+0.70j, -1.00+0.90j, 0.70+0.90j, 0.20+0.30j, 0.10+0.60j, -0.50-1.00j, 0.20+0.20j, 0.70-0.60j, -0.20+0.80j, -0.60-0.40j), nrow = 5, ncol = 3, byrow = TRUE)

from sympy import *

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

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

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Started at:

2026-09-19 07:54:48 (CDT)

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{
  "C": {
    "_type": "complex_ndarray",
    "_dtype": "complex128",
    "_value": {
      "imag": [
        [
          -1.6700000000000004,
          2.6,
          0.09999999999999981
        ]
      ],
      "real": [
        [
          0.36999999999999983,
          -2.2800000000000002,
          -0.7399999999999999
        ]
      ]
    }
  }
}

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Assessment:

gallery/elements