Q. 225.0( 2 Votes )

Solve the followi

Answer :

The above system of equations can be written as


or AX = B


Where A = B = and X =


|A| = – 3 – 3 = – 6


So, the above system has a unique solution, given by


X = A – 1B


Let Cij be the cofactor of aijin A, then


C11 = (– 1)1 + 1 – 1 = – 1


C12 = (– 1)1 + 2 3 = – 3


C21 = (– 1)2 + 1 1 = – 1


C22 = (– 1)2 + 2 3 = 3


Also, adj A =


=


A – 1 =


A – 1 =


Now, X = A – 1B






Hence, X = 7 Y = – 2

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