Q. 123.5( 2 Votes )

If and are two square matrices, find A B and hence solve the system of linear equations: X – y = 3, 2x + 3y + 4z = 17, y + 2z = 7.(CBSE 2012)

Answer :

A = B =

AB =


AB =


Now, we can see that it is AB = 6I. where I is the unit Matrix


Or, A – 1 =


Now the given equation can be written as:



A X B


Or, X = A – 1B


=



=


X =


Hence, x = 2,y = – 1 and z = 4

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