A) \[A+B=O\]
B) \[{{A}^{2}}={{B}^{2}}\]
C) \[A-B=O\]
D) \[{{A}^{2}}+{{B}^{2}}=O\]
Correct Answer: B
Solution :
Relation \[{{A}^{2}}={{B}^{2}}\]is true because \[{{A}^{2}}=\left[ \begin{matrix} -1 & 0 \\ 0 & -1 \\ \end{matrix} \right]\] and \[{{B}^{2}}=\left[ \begin{matrix} -1 & 0 \\ 0 & -1 \\ \end{matrix} \right]\]have same matrices.
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