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\(\text { If P= }\left[\begin{array}{cc}1 & 0 \\\frac{1}{2} & 1\end{array}\right] \text { then } P ^{50} \text { is }\) …

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\(\text { If P= }\left[\begin{array}{cc}1 & 0 \\\frac{1}{2} & 1\end{array}\right] \text { then } P ^{50} \text { is }\)

[JEE Main 2021, 25 Jul (Shift 2)]

a

\(\left[\begin{array}{cc}1 & 0 \\25 & 1\end{array}\right]\)

b

\(\left[\begin{array}{cc}1 & 50 \\0 & 1\end{array}\right]\)

c

\(\left[\begin{array}{cc}1 & 25 \\0 & 1\end{array}\right]\)

d

\(\left[\begin{array}{cc}1 & 0 \\50 & 1\end{array}\right]\)

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