If \[A=\left[ \begin{matrix} i & 0 \\ 0 & i \\ \end{matrix} \right]\] and \[B=\left[ \begin{matrix} 0 & -i \\ -i & 0 \\ \end{matrix} \right]\], then \[(A+B)(A-B)\] is equal to [RPET 1994]

If \[A=\left[ \begin{matrix} i & 0 \\ 0 & i \\ \end{matr

1.	If \[A=\left[ \begin{matrix} i & 0 \\ 0 & i \\ \end{matrix} \right]\] and \[B=\left[ \begin{matrix} 0 & -i \\ -i & 0 \\ \end{matrix} \right]\], then \[(A+B)(A-B)\] is equal to [RPET 1994]
A.	\[{{A}^{2}}-{{B}^{2}}\]
B.	\[{{A}^{2}}+{{B}^{2}}\]
C.	\[{{A}^{2}}-{{B}^{2}}+BA+AB\]
D.	None of these
Answer» B. \[{{A}^{2}}+{{B}^{2}}\]

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If \[A=\left[ \begin{matrix} i & 0 \\ 0 & i \\ \end{matrix} \right]\] and \[B=\left[ \begin{matrix} 0 & -i \\ -i & 0 \\ \end{matrix} \right]\], then \[(A+B)(A-B)\] is equal to [RPET 1994]

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