Q. 8 E5.0( 1 Vote )

# Find the inverse of each of the following matrices.

Answer :

|A| =

= 0 – 1(16 – 12) – 1( – 12 + 9)

= – 4 + 3

= – 1

Hence, A ^{– 1} exists

Cofactors of A are:

C_{11} = 0 C_{21} = – 1 C_{31} = 1

C_{12} = – 4 C_{22} = 3 C_{32} = – 4

C_{13} = – 3 C_{23} = 3 C_{33} = – 4

adj A =

=

So, adj A =

Now, A ^{– 1} = .adj A

So, A ^{– 1} = .

Hence, A ^{– 1} =

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