# Zero or null matrix

On this post you will find the explanation of the zero matrix, also known as null matrix. You will also see why the values of its entries are independent of the dimension of the matrix, and finally you will find all the properties of this type of matrix.

## What is the zero (or null) matrix?

The meaning of zero (or null) matrix is as follows:

In mathematics, the zero matrix, also called null matrix, is a matrix which all its elements are equal to zero. The zero matrix is denoted by the symbol O or 0.

Therefore, according to the definition of the zero (or null) matrix, this matrix can be of all possible dimensions as long as all its numbers are zero. Take a look at the following examples:

## Examples of null matrices

Example of a 2×2 zero matrix

Example of a 3×3 zero matrix

Example of a 4×4 zero matrix

The above examples are all square matrices, but zero matrices can also be rectangular.

Perhaps now it seems to you that this peculiar matrix is not important, since it is simply a matrix full of zeros. However, in mathematics, particularly in the field of linear algebra, it is a very useful matrix because it makes calculations much easier.