Maths-
General
Easy
Question
If A and B are two matrices such that AB = B and BA = A, then
- (A5 – B5)3 = A – B
- (A5 – B5)3 = A3 – B3
- A – B is idempotent
- A – B is nilpotent
The correct answer is: A – B is nilpotent
Since AB = B and BA = A
A and B both are idempotent
(A – B)2 = A2 – AB – BA + B2 = A – B – A + B = 0
A – B is nilpotent
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