Q. 10 A5.0( 1 Vote )

# For the following pairs of matrices verify that (AB)^{–1} = B ^{– 1}A ^{– 1}:

A=

Answer :

A = , |A| = 1

Then, adj A =

A ^{– 1} =

B = , |B| = – 10

Then, adj B =

B ^{– 1} =

Also, A.B =

AB =

|AB| = 936 – 946 = – 10

Adj(AB) =

(AB) ^{– 1} =

Now B ^{– 1}A ^{– 1} =

=

=

Hence, (AB) ^{– 1 =} B ^{– 1} A ^{– 1}

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