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MCQMediumJEE Main 2023 · 1 February, Shift 2Algebra of Matrices

Mathematics Question from JEE Main 2023 · 1 February, Shift 2

If A=12[13−31]A = \frac{1}{2} \begin{bmatrix} 1 & \sqrt{3} \\ -\sqrt{3} & 1 \end{bmatrix}, then:

  • A

    A30−A25=2IA^{30} - A^{25} = 2I

  • B

    A30+A25+A=IA^{30} + A^{25} + A = I

  • C

    A30+A25−A=IA^{30} + A^{25} - A = I

  • D

    A30=A25A^{30} = A^{25}

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