multiply_matrices

compas.geometry.multiply_matrices(A, B)

Mutliply a matrix with a matrix.

Parameters

• A (sequence of sequence of float) – The first matrix.

• B (sequence of sequence of float) – The second matrix.

Returns

C (list of list of float) – The result matrix.

Raises

Exception – If the shapes of the matrices are not compatible. If the row length of B is inconsistent.

Notes

This is a pure Python version of the following linear algebra procedure:

\[\mathbf{A} \cdot \mathbf{B} = \mathbf{C}\]

with \(\mathbf{A}\) a m by n matrix, \(\mathbf{B}\) a n by o matrix, and \(\mathbf{C}\) a m by o matrix.

Examples

>>> A = [[2.0, 0.0, 0.0], [0.0, 2.0, 0.0], [0.0, 0.0, 2.0]]
>>> B = [[2.0, 0.0, 0.0], [0.0, 2.0, 0.0], [0.0, 0.0, 2.0]]
>>> multiply_matrices(A, B)
[[4.0, 0.0, 0.0], [0.0, 4.0, 0.0], [0.0, 0.0, 4.0]]