Scalar Matrix Multiplication

Introduction

• There are two ways to multiply matrices; either by a number, or by another matrix.
• Scalar Multiplication is the the first of these, multiplying a matrix by a number.
• To multiply a matrix by a number, you multiply each element by that number.

Mathematical Definition

Example

code (Python)

import numpy as np

a = [[3, 6, 2], [5, 1, 10]]
b = np.multiply(a, 4)

print(b) # prints: [[12 24  8] [20  4 40]]

Notes

• The resulting matrix of the multiplication is called a 'Scalar Multiple'.