Equality Of Matrices

In these lessons, we will learn what are equal matrices?

Related Topics: Operations on Matrices

Two matrices are equal if they have the same dimension or order and the corresponding elements are identical.

Matrices P and Q are equal.

Matrices A and B are not equal because their dimensions or order is different.

We can use the equality of matrices to solve for variables.

Example:

Given that the following matrices are equal, find the values of x, y and z .

Solution:

Equate the corresponding elements and solve for the variables.

x + 3 = 6
x = 3

y = −1

z −3 = 4
z = 7
What is a matrix and what are equal matrices?

Equal Matrices and solving variables
Two matrices are equal if they have the same dimensions and all corresponding elements are equal.
How to solve variables in equal matrices (equivalent matrices)?

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