Find the inverse of each of the following matrices.

|A| =

= 1(6 – 1) – 2(4 – 3) + 3(2 – 9)

= 5 – 2 – 21

= – 18

Hence, A ^{– 1} exists

Cofactors of A are:

C₁₁ = 5 C₂₁ = – 1 C₃₁ = – 7

C₁₂ = – 1 C₂₂ = – 7 C₃₂ = 5

C₁₃ = – 7 C₂₃ = 5 C₃₃ = – 1

adj A =

=

So, adj A =

Now, A ^{– 1} = .adj A

So, A ^{– 1} = .

Hence, A ^{– 1} =