If matrix \( A=\left[\begin{array}{rr}1 & -1 \\ -1 & 1\end{array}\r...

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If matrix \( A=\left[\begin{array}{rr}1 & -1 \\ -1 & 1\end{array}\right] \) and \( A^{2}=k A \), then write the
\( \mathrm{P} \)
value of \( k \).
W
(1) 6
(2) -7
(3) 8
(4) 2
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