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Q.If AA is a 3×33\times3 matrix with characteristic polynomial (x1)3=0(x-1)^3 = 0, then

a
A=IA = I
b
AIA - I is nilpotent
c
AA is diagonalizable
d
A=0A = 0

Correct Answer: Option B

The correct solution involves applying the fundamental concept to derive the final value step by step...

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