# How do you multiply a matrix by a scalar constant?

##### 1 Answer
Nov 10, 2015

You simply multiply every entry in the matrix by the scalar constant.

That is, if ${A}_{m \times n}$ is a matrix and $k \in \mathbb{R}$ is a scalar constant, then
$k A = k {a}_{i j} \forall i = 1 , 2 , 3 , \ldots . , m \mathmr{and} \forall j = 1 , 2 , 3 , \ldots . , n$