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Question

Find the inverse of the matrix A=123111234


A

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B

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C

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D

Inverse doesn’t exist

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Solution

The correct option is D

Inverse doesn’t exist


Give matrix is,

A=123111234

Lets first find the determinant to use in the equation.

A1=1|A|.Adj(A).

If |A| = 0 we can rightway say that the inverse doesn’t exist.

|A|=1(1) - 2 (2) +3(1)

=1 - 4 + 3

= 0

This shows that the given matrix is non-invertible or singular.

Hence the inverse doesn’t exist.


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