If \( A=\left[\begin{array}{ll}1 & 1 \\ 0 & 1\end{array}\right] \),...

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If \( A=\left[\begin{array}{ll}1 & 1 \\ 0 & 1\end{array}\right] \), show that \( A^{2}=\left[\begin{array}{ll}1 & 2 \\ 0 & 1\end{array}\right] \) and \( A^{3}=\left[\begin{array}{ll}1 & 3 \\ 0 & 1\end{array}\right] \).
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