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

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If \( A=\left[\begin{array}{ll}1 & 1 \\ 0 & 1\end{array}\right] \), prove that \( A^{n}=\left[\begin{array}{ll}1 & n \\ 0 & 1\end{array}\right] \) for all positive integers \( n \).
EW
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