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

Q1

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

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

a

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

b

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

c

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

d

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

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