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

**Related Pages**

Singular Matrix

Inverse Matrix

More Lessons 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

**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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