If A and B are two matrices such that AB = A and BA=B, then which one of the following is correct?

\[{{({{A}^{T}})}^{2}}={{B}^{T}}\]

\[{{({{A}^{T}})}^{2}}={{A}^{T}}\]

\[{{({{A}^{T}})}^{2}}={{({{A}^{-1}})}^{-1}}\]

If A and B are two matrices such that AB = A and BA=B, then which one

1.	If A and B are two matrices such that AB = A and BA=B, then which one of the following is correct?
A.	\[{{({{A}^{T}})}^{2}}={{A}^{T}}\]
B.	\[{{({{A}^{T}})}^{2}}={{B}^{T}}\]
C.	\[{{({{A}^{T}})}^{2}}={{({{A}^{-1}})}^{-1}}\]
D.	None of the above
Answer» B. \[{{({{A}^{T}})}^{2}}={{B}^{T}}\]

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If A and B are two matrices such that AB = A and BA=B, then which one of the following is correct?

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