1.

If A and B are two matrices such that \[AB=B\]and \[BA=A,\]then

A.  \[{{({{A}^{5}}-{{B}^{5}})}^{3}}=A-B\]
B.  \[{{({{A}^{5}}-{{B}^{5}})}^{3}}={{A}^{3}}-{{B}^{3}}\]
C.  \[A-B\]is idempotent
D.  \[A-B\]is nilpotent
Answer» E.


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