Answer:
Given A2 = A
Now (I + A)3 ? 7A = (I +
A)2 (I + A) ? 7A
= [(I + A) (I + A) (I + A) ? 7A
= (II + IA + AI + AA) (I + A) ? 7A
= (I + A + A + A2) (I + A)
? 7A
= (I + 2A + A) (I + A) ? 7A
= (I + 3A) (I + A) ? 7A
= I + I A + 3AI + 3A2 ? 7A
= I + A + 3A + 3A ? 7A
= I + 7A ? 7A = I
(c) is correct.
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