If `A B=A` and `B A=B` , where `A` and `B` are square matrices, then `B^2=B` and `A^2=A` (b) `B^2!=B` and `A^2=A` (c) `A^2!=A` , `B^2=B` (d) `A^2!=A` , `B^2!=B`

Explanation

Given: `A` and `B`
are square matrices such that `A B=A` and `B A=B`

Take `AB=A`

`implies A.(BA)=A`

`implies (AB)(A)=A`

As `AB=A`

`implies (A).(A)=A`

`implies A^2=A`

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