If \(P=\begin{bmatrix}1&0\\ \frac12&1\end{bmatrix}\), then \(P^{50}\) is :
Show Hint
- \(\begin{bmatrix}1&0\\ 25&1\end{bmatrix}\)
- \(\begin{bmatrix}1&50\\ 0&1\end{bmatrix}\)
- \(\begin{bmatrix}1&25\\ 0&1\end{bmatrix}\)
- \(\begin{bmatrix}1&0\\ 50&1\end{bmatrix}\)
The Correct Option is A
Solution and Explanation
For \(n=50\): \(P^{50}=\begin{bmatrix}1&0\\ 25&1\end{bmatrix}\).
Answer: (1) \(\begin{bmatrix}1&0\\ 25&1\end{bmatrix}\)
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