Equality Of Matrices

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

Matrices P and Q are equal.

Matrices A and B are not equal because their 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.

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