compas.geometry.multiply_matrix_vector

compas.geometry.multiply_matrix_vector(A, b)[source]

Multiply a matrix with a vector.

Parameters

• A (list of list) – The matrix.

• b (list) – The vector.

Returns

c (list) – The resulting vector.

Raises

Exception – If not all rows of the matrix have the same length as the vector.

Notes

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

$$\mathbf{A} \cdot \mathbf{x} = \mathbf{b}$$

with $\mathbf{A}$ a m by n matrix, $\mathbf{x}$ a vector of length n, and $\mathbf{b}$ a vector of length m.

Examples

>>> matrix = [[2.0, 0.0, 0.0], [0.0, 2.0, 0.0], [0.0, 0.0, 2.0]]
>>> vector = [1.0, 2.0, 3.0]
>>> multiply_matrix_vector(matrix, vector)
[2.0, 4.0, 6.0]