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Question

Mathematics Question on Matrices

If, A is a square matrix of order 3×33 \times 3 such that A2=AA^2 = A and I is the unit matrix of order 3×33 \times 3, then the value of (IA)3+A2+I(I-A)^3+A^2+I is:

A

0

B

I

C

2I

D

4I

Answer

2I

Explanation

Solution

The correct option is (C): 2I