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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.

x + 3 = 6
x = 3

y = −1

z −3 = 4
z = 7

 

 

 

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