Mathematics

Problem

P = \begin{bmatrix} 1 & 0 \\ \frac{1}{2} & 1 \end{bmatrix}

, then

P^{50}

is : [July 25, 2021 (II)] (a)

\begin{bmatrix} 1 & 0 \\ 25 & 1 \end{bmatrix}

(b)

\begin{bmatrix} 1 & 50 \\ 0 & 1 \end{bmatrix}

(c)

\begin{bmatrix} 1 & 25 \\ 0 & 1 \end{bmatrix}

(d)

\begin{bmatrix} 1 & 0 \\ 50 & 1 \end{bmatrix}