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Matrices and Determinants question

2022 · Shift 2 · Q34
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  5. /2022 · Shift 2 · Q34

Matrices and Determinants question

2022 · Shift 2 · Q34

JEE AdvancedMathematicsMatrices and DeterminantsMCQ+3 / −1
If M=(5232−32−12)M=\left(\begin{array}{rr}\frac{5}{2} & \frac{3}{2} \\ -\frac{3}{2} & -\frac{1}{2}\end{array}\right)M=(25​−23​​23​−21​​), then which of the following matrices is equal to M2022?M^{2022} ?M2022?
  1. A
    (30343033−3033−3032)\left(\begin{array}{rr}3034 & 3033 \\ -3033 & -3032\end{array}\right)(3034−3033​3033−3032​)
  2. B
    (3034−30333033−3032)\left(\begin{array}{ll}3034 & -3033 \\ 3033 & -3032\end{array}\right)(30343033​−3033−3032​)
  3. C
    (30333032−3032−3031)\left(\begin{array}{rr}3033 & 3032 \\ -3032 & -3031\end{array}\right)(3033−3032​3032−3031​)
  4. D
    (30323031−3031−3030)\left(\begin{array}{rr}3032 & 3031 \\ -3031 & -3030\end{array}\right)(3032−3031​3031−3030​)
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