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Question
#462376
If A and B are two matrices such that AB = B and BA= A
then A? + B2 equals
A 2AB
® 2BA
C
A+B
CORRECT ANSWER
D AB
SOLUTION
Given,
AB=B
and
BA= A
Now,
A2 + B2 = A A+BB
= A(BA) + B(AB) = (AB)A+(BA)B
= BA + AB= A + B
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