Q. 193.7( 3 Votes )

Matrices A and B are inverse of each other only when
A. AB=BA

B. AB=BA=0

C. AB=0, BA=I

D. AB=BA=I

Answer :

A = B-1


B=A-1


We know that


AA-1= I


(Given B=A-1)


AB= I ------ 1


We know that


BB-1= I


(Given A=B-1)


BA= I ------ 2


From 1 and 2


AB= BA = I

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