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Question

Question: If A<sup>3</sup> = O , then I + A + A<sup>2</sup> equals...

If A3 = O , then I + A + A2 equals

A

I – A

B

(I – A)–1

C

(I + A)–1

D

None of these

Answer

(I – A)–1

Explanation

Solution

A3 = O

(I + A + A2) (I – A) = I – A3 = I

\ I + A + A2 = (I – A)–1