If M=(\table \frac{5}{2} , \frac{3}{2} ; -\frac{3}{2} , -\frac{1}{2}), then which of the following matrices is equal to M^{2022} ? [JEE Adv 2022 P2]

Correct Answer is : (30343033−3033−3032)

(\table 3034 , 3033 ; -3033 , -3032)

(\table 3034 , -3033 ; 3033 , -3032)

(\table 3033 , 3032 ; -3032 , -3031)

(\table 3032 , 3031 ; -3031 , -3030)

Matrices and Determinants

Section: Mathematics

Question : 11 of 56

Marks: +1, -0

If M=(

‌

−‌

), then which of the following matrices is equal to M2022 ?

[JEE Adv 2022 P2]

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3034	3033
−3033	−3032

3034	−3033
3033	−3032

3033	3032
−3032	−3031

3032	3031
−3031	−3030