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

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If \( A=\left[\begin{array}{ll}0 & 1 \\ 0 & 0\end{array}\right] \), prove that \( (a I+b A)^{n}=a^{n} I+n \cdot a^{n-1} \)
\( \mathrm{P} \)
W
\( b A \), where \( I \) is a unit matrix of order 2 and \( \mathrm{n} \) is a positive integer.
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