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.
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:
You are given the following matrix
Repeated addition and subtraction
Solve the following without having to add or subtract repeatedly:
Scalar Multiplication with Matrix equations
Solve the following matrix equations:
Multiplying a matrix by a scalar
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We have 1139 practice questions in Algebra 1 for you to work through.