If , find (A^T) ^{– 1}.

A =

Let B = A^T =

|B| =

= ( – 1 – 8) – 0 – 2( – 8 + 3) = – 9 + 10 = 1

Cofactors of B are:

C₁₁ = – 9 C₂₁ = 8 C₃₁ = – 5

C₁₂ = – 8 C₂₂ = 7 C₃₂ = – 4

C₁₃ = – 2 C₂₃ = 2 C₃₃ = – 1

adj B =

=

So, adj B =

Now, B ^{– 1} =

Hence, (A^T) ^{– 1}