🛠️ JEE➗ Maths

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

Q1

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

[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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