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Matrices and Determinants question

2023 · 1 Feb · Shift 2 · Q34

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JEE Main
Mathematics
Matrices and Determinants
2023 · 1 Feb · Shift 2 · Q34

Matrices and Determinants question

2023 · 1 Feb · Shift 2 · Q34

JEE MainMathematicsMatrices and DeterminantsMCQ+4 / −1

If

A = {1 \over 2}\left[ {\begin{matrix} 1 & {\sqrt 3 } \\ { - \sqrt 3 } & 1 \\ \end{matrix} } \right]

, then :

A
$\mathrm{A^{30}-A^{25}=2I}$
B
$\mathrm{A^{30}+A^{25}-A=I}$
C
$\mathrm{A^{30}=A^{25}}$
D
$\mathrm{A^{30}+A^{25}+A=I}$

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