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 – 1B


|A| = 1


Cofactors of A are


C11 = 1 C12 = – 1


C21 = – 4 C22 = 5


Since, adj A =


(adj A) =


=


Now, A – 1 =


A – 1 =


So, X =


Hence, X =


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