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Mathematics Question on Matrices

If 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

(30343033 −3033−3032)\begin{pmatrix}3034 & 3033 \\\ -3033 & -3032\end{pmatrix}

C

(3034−3033 3033−3032)\begin{pmatrix}3034 & -3033 \\\ 3033 & -3032\end{pmatrix}

D

(30333032 −3032−3031)\begin{pmatrix}3033 & 3032 \\\ -3032 & -3031\end{pmatrix}

Answer

(30343033 −3033−3032)\begin{pmatrix}3034 & 3033 \\\ -3033 & -3032\end{pmatrix}

Explanation

Solution

So, the correct option is (A): (30343033 −3033−3032)\begin{pmatrix}3034 & 3033 \\\ -3033 & -3032\end{pmatrix}