If \( A=\left[\begin{array}{rr}a b & b^{2} \\ -a^{2} & -a b\end{arr...

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If \( A=\left[\begin{array}{rr}a b & b^{2} \\ -a^{2} & -a b\end{array}\right] \), show that \( A^{2}=0 \)
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