If A and B are \[3\times 3\]matrices such that \[AB=A\] and \[BA=B\], then [Orissa JEE 2003]

\[{{A}^{2}}\ne A\]and \[{{B}^{2}}\ne B\]

\[{{A}^{2}}=A\]and \[{{B}^{2}}\ne B\]

\[{{A}^{2}}\ne A\]and \[{{B}^{2}}=B\]

\[{{A}^{2}}=A\]and \[{{B}^{2}}=B\]

If A and B are \[3\times 3\]matrices such that \[AB=A\] and \[BA=B\],

1.	If A and B are \[3\times 3\]matrices such that \[AB=A\] and \[BA=B\], then [Orissa JEE 2003]
A.	\[{{A}^{2}}=A\]and \[{{B}^{2}}\ne B\]
B.	\[{{A}^{2}}\ne A\]and \[{{B}^{2}}=B\]
C.	\[{{A}^{2}}=A\]and \[{{B}^{2}}=B\]
D.	\[{{A}^{2}}\ne A\]and \[{{B}^{2}}\ne B\]
Answer» D. \[{{A}^{2}}\ne A\]and \[{{B}^{2}}\ne B\]

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If A and B are \[3\times 3\]matrices such that \[AB=A\] and \[BA=B\], then [Orissa JEE 2003]

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