Find the inverse of each of the following matrices.

|A| =

= 0 – 1(16 – 12) – 1( – 12 + 9)

= – 4 + 3

= – 1

Hence, A ^{– 1} exists

Cofactors of A are:

C₁₁ = 0 C₂₁ = – 1 C₃₁ = 1

C₁₂ = – 4 C₂₂ = 3 C₃₂ = – 4

C₁₃ = – 3 C₂₃ = 3 C₃₃ = – 4

adj A =

=

So, adj A =

Now, A ^{– 1} = .adj A

So, A ^{– 1} = .

Hence, A ^{– 1} =