If A, B are two square matrices of order 3x3 which satisfy AB = A and BA = B then (A+B)7
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Answer:
AB=A⟹B=I
⇒BA=B⟹A=I
⇒A+B=2I
⇒(A+B)
7
=(2I)
7
=128I
⇒(A+B)
7
=64.2I
⇒(A+B)
7
=64(A+B)
Hence, the answer is 64(A+B).
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