Let A = beginbmatrix cosα & -sinα \ sinα & cosα endbmatrix (α ∈ R) such that A^32 = beginbmatrix 0 & -1 \ 1 & 0 endbmatrix. Then, a value of α is

Let A = beginbmatrix cosα & -sinα \ sinα & cosα endbmatrix… — JEE Main 2019 Mathematics PYQ

JEE Main 2019 · 8 April · Shift I

Let

A = \begin{bmatrix} \cos\alpha & -\sin\alpha \\ \sin\alpha & \cos\alpha \end{bmatrix}

(\alpha \in R)

such that

A^{32} = \begin{bmatrix} 0 & -1 \\ 1 & 0 \end{bmatrix}

. Then, a value of

\alpha

Show answer

Correct option: C

[JEE Main 2019 · 8 April · Shift I]

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