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Q8 of 74 Page 7

Find the inverse of each of the following matrices.

|A| =

= 0 – 0 – 1( – 12 + 8)

= 4

Hence, A ^{– 1} exists

Cofactors of A are:

C₁₁ = – 8 C₂₁ = 4 C₃₁ = 4

C₁₂ = 11 C₂₂ = – 2 C₃₂ = – 3

C₁₃ = – 4 C₂₃ = 0 C₃₃ = 0

adj A =

=

So, adj A =

Now, A ^{– 1} = .adj A

So, A ^{– 1} = .

Hence, A ^{– 1} =

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