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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.
x + 3 = 6
x = 3
y = −1
z −3 = 4
z = 7
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