JEE Math Practice Question
If $M=\left(\begin{array}{rr}\frac{5}{2} & \frac{3}{2} \\ -\frac{3}{2} & -\frac{1}{2}\end{array}\right)$, then which of the following matrices is equal to $M^{2022}$ ?
- A.$\left(\begin{array}{rr}3034 & 3033 \\ -3033 & -3032\end{array}\right)$
- B.$\left(\begin{array}{ll}3034 & -3033 \\ 3033 & -3032\end{array}\right)$
- C.$\left(\begin{array}{rr}3033 & 3032 \\ -3032 & -3031\end{array}\right)$
- D.$\left(\begin{array}{rr}3032 & 3031 \\ -3031 & -3030\end{array}\right)$
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