Let A= ( array c - array ),( R) such that A^ 12 = ( array cc 0 & -1 1 & 0 array ) . Then…
Mathematics · JEE Main · NTA Exams — Matrices and Determinants
Let \(A=\left(\begin{array}{c}
\cos \pi-\sin \pi \\
\sin \pi \\
\cos \pi
\end{array}\right),(\pi \in R)\) such that \(A^{12}=\left(\begin{array}{cc}
0 & -1 \\
1 & 0
\end{array}\right)\). Then the value of α is:
- \(\frac{\pi}{64}\)
- 0
- \(\frac{\pi}{32}\)
- \(\frac{\pi}{16}\)
Answer
(D) 16
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