Q. 305.0( 2 Votes )

# Solve the matrix equation , where X is a 2x2 matrix.

Answer :

Let A = B =

So, AX = B

Or, X = A ^{– 1}B

|A| = 1

Cofactors of A are

C_{11} = 1 C_{12} = – 1

C_{21} = – 4 C_{22} = 5

Since, adj A =

(adj A) =

=

Now, A ^{– 1} =

A ^{– 1} =

So, X =

Hence, X =

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