If M = pmatrix 5 2 & 3 2 - 3 2 & - 1 2 pmatrix , then which of the following matrices is equal to M^ 2022 ?

JEE Advanced 2022 Mathematics question

If , then which of the following matrices is equal to ?

Answer: (A)

Write with ; then , so . For $n =

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Question ID VK-034023