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?**

Two matrices are equal if they have the same dimensions and all corresponding elements are equal.

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