Let , then which of the following matrices is equal to…

MATHEMATICS · Single correct · AP · AP Precalculus · Functions with Parameters, Vectors, and Matrices · Functions with Parameters, Vectors, and Matrices

Problem

Let M=(5232−32−12)M = \begin{pmatrix} \frac{5}{2} & \frac{3}{2} \\ -\frac{3}{2} & -\frac{1}{2} \end{pmatrix} , then which of the following matrices is equal to M2022M^{2022} ? (A) (30343033−3033−3032)\begin{pmatrix} 3034 & 3033 \\ -3033 & -3032 \end{pmatrix} (B) (3034−30333033−3032)\begin{pmatrix} 3034 & -3033 \\ 3033 & -3032 \end{pmatrix} (C) (30333032−3032−3031)\begin{pmatrix} 3033 & 3032 \\ -3032 & -3031 \end{pmatrix} (D) (30323031−3031−3030)\begin{pmatrix} 3032 & 3031 \\ -3031 & -3030 \end{pmatrix}

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