Find The Inverse Of The matrix .

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Question

diffcult

Correct option is

– 2

We have

, expanding the determinant along the first

= –2.

Now the cofactors of the elements of the first row of

i.e., are –1, 8, –5 respectively.

The cofactors of the elements of the second row of

i.e., are 1, –6 3 respectively.

The cofactors of the elements of the their row of

i.e., are –1, 2, –1 respectively.

Therefore the Adj. A = the transpose of the matrix B where