Consider the following in respect of the matrix \[A=\left( \begin{matrix} -1 & 1 \\ 1 & -1 \\ \end{matrix} \right):\] 1. \[{{A}^{2}}=-A\] 2. \[{{A}^{3}}=4A\] Which of the above is/are correct?

Consider the following in respect of the matrix \[A=\left( \begin{matr

1.	Consider the following in respect of the matrix \[A=\left( \begin{matrix} -1 & 1 \\ 1 & -1 \\ \end{matrix} \right):\] 1. \[{{A}^{2}}=-A\] 2. \[{{A}^{3}}=4A\] Which of the above is/are correct?
A.	1 only
B.	2 only
C.	Both 1 and 2
D.	Neither 1 nor 2
Answer» C. Both 1 and 2

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Consider the following in respect of the matrix \[A=\left( \begin{matrix} -1 & 1 \\ 1 & -1 \\ \end{matrix} \right):\] 1. \[{{A}^{2}}=-A\] 2. \[{{A}^{3}}=4A\] Which of the above is/are correct?

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