jee-main 2021 Q72

jee-main · India · session3_25jul_shift2 Matrices Matrix Power Computation and Application

If $P = \left[ \begin{array} { c c } 1 & 0 \\ \frac { 1 } { 2 } & 1 \end{array} \right]$, then $P ^ { 50 }$ is:
(1) $\left[ \begin{array} { l l } 1 & 0 \\ 25 & 1 \end{array} \right]$
(2) $\left[ \begin{array} { l l } 1 & 50 \\ 0 & 1 \end{array} \right]$
(3) $\left[ \begin{array} { l l } 1 & 25 \\ 0 & 1 \end{array} \right]$
(4) $\left[ \begin{array} { l l } 1 & 0 \\ 50 & 1 \end{array} \right]$

If $P = \left[ \begin{array} { c c } 1 & 0 \\ \frac { 1 } { 2 } & 1 \end{array} \right]$, then $P ^ { 50 }$ is:\\
(1) $\left[ \begin{array} { l l } 1 & 0 \\ 25 & 1 \end{array} \right]$\\
(2) $\left[ \begin{array} { l l } 1 & 50 \\ 0 & 1 \end{array} \right]$\\
(3) $\left[ \begin{array} { l l } 1 & 25 \\ 0 & 1 \end{array} \right]$\\
(4) $\left[ \begin{array} { l l } 1 & 0 \\ 50 & 1 \end{array} \right]$

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