# Scalar multiplication

### Scalar multiplication

In this section, we will learn about scalars, and how we use them to multiplying a matrix. A scalar is a real number that can be multiplied to a matrix. To do this, we take the scalar and multiply it to each entry in the matrix. We will look at a few questions which scalar multiplication, and then we will look at matrix equations with repeated addition and subtraction. These matrix equations can be simplified with a scalar. Lastly, we will learn how to solve matrix equations with variables which deals with scalar multiplication.
Basic concepts: Notation of matrices,

#### Lessons

Scalar is a real number which we can multiply to a matrix. For example, let

We want to find what 2A is. Then what we do is:

• 1.
Multiplying a matrix by a scalar overview

• 2.
Scalar multiplication
You are given the following matrix

Find:
a)
2A

b)
-4A

c)
6A - 2A

• 3.
Solve the following without having to add or subtract repeatedly:
a)

b)

• 4.
Scalar Multiplication with Matrix equations
Solve the following matrix equations:
a)

b)

c)