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If A and B are two matrices such that...

If `A` and `B` are two matrices such that `A B=A` and `B A=B` , then `B^2` is equal to `B` (b) `A` (c) 1 (d) 0

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Text Solution

Verified by Experts

The correct Answer is:
A
Given AB = A and BA = B
Consider B = BA = B(AB) (`because` AB = A)
`=(BA).B=B.B = B^(2)`
Hence, `B^(2) = B`
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