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If \(A=\frac{1}{2}\left[\begin{matrix}1 & \sqrt{3} \\ −\sqrt{3} & 1\end{matrix}\right],\) then [JEE Main 2023, 1 Feb (Sh…

Q1

If \(A=\frac{1}{2}\left[\begin{matrix}1 & \sqrt{3} \\ −\sqrt{3} & 1\end{matrix}\right],\) then

[JEE Main 2023, 1 Feb (Shift 2)]

a

A³⁰ – A²⁵ = 2I

b

A³⁰ + A²⁵ + A = I

c

A³⁰ + A²⁵ – A = I

d

A³⁰ = A²⁵

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