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: Find the inverse of each matrix, if it exists.

7.

4-8-12

Short Answer

Expert verified

The inverse of the given matrix does not exist.

Step by step solution

01

­- Description of step.

A square matrixA does not have its inverse if A=0.

A square matrixAhave its inverse ifA≠0.

02

­- Find the determinant of the given matrix.

The determinant of the given matrix is:

4−8−12=42−−1−8=8−8=0

As the determinant of the given matrix is equal to zero, therefore the inverse of the given matrix does not exist

03

­- Description of step. 

The inverse of the given matrix does not exist..

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