multiply_matrices

compas.geometry.multiply_matrices(A, B)[source]

Mutliply a matrix with a matrix.

Parameters:

Alist[list[float]] | compas.geometry.Transformation: The first matrix.
Blist[list[float]] | compas.geometry.Transformation: The second matrix.

Returns:

list[list[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 \(\mathbf{A}\) [m x n], \(\mathbf{B}\) [n x o], and \(\mathbf{C}\) [m x o].

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]]