# Zero matrix

### Zero matrix

In this section, we will learn about zero matrices. Zero matrices are matrices where all the entries are zero. We see what happens if we add and subtract matrices with zero matrices. Then we will take a look some cases which involves multiplying a 0 scalar with matrix, and multiplying a scalar with a zero matrix. Lastly, we will answer some true or false questions that will help us understand the property of zero matrices.

#### Lessons

Note
A zero matrix is a matrix (usually called O) where all the entries are zero. For example,

are all zero matrices.
• Introduction
Zero Matrix Overview

• 1.
Adding, Subtracting and Scalar Multiplication of Zero Matrix
Calculate the following:
a)

b)

c)

d)

e)

f)

• 2.
True or false?
You are given a matrix and the zero matrix . Is the following true? If it is false, then fix the matrix equation.
a)
$B+O=B$

b)
$O-B=B$

c)
$B-B=O$

d)
$O+O=B$

e)
$0 \cdot B=O$

f)
$B \cdot 0=O$