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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