If \A(\\theta)=[\table i \sin \\theta, \cos \\theta ; \cos \\theta, i \sin \\theta ] is a matrix where i=\\sqrt{-1}, then which of the following is not true

Correct Answer is : det[A(θ)]−1=1

{\det} \A(\\pi+\\theta)={\det} \A(-\\theta)

{\det} \A(-\\theta)={\det} \A(\\theta)

AP EAPCET 23-Aug-2021 Shift 2 Paper

Section: Mathematics

Question : 9 of 160

Marks: +1, -0

If A(θ)=[

i‌sin‌θ	cos‌θ
cos‌θ	i‌sin‌θ‌

] is a matrix where i=√−1, then which of the following is not true

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i‌sin‌θ	−cos‌θ
−cos‌θ	i‌sin‌θ

i‌sin‌θ	−cos‌θ
−cos‌θ	i‌sin‌θ