Question
Mathematics Question on Matrices
If, A is a square matrix of order 3×3 such that A2=A and I is the unit matrix of order 3×3, then the value of (I−A)3+A2+I is:
A
0
B
I
C
2I
D
4I
Answer
2I
Explanation
Solution
The correct option is (C): 2I
If, A is a square matrix of order 3×3 such that A2=A and I is the unit matrix of order 3×3, then the value of (I−A)3+A2+I is:
0
I
2I
4I
2I
The correct option is (C): 2I