If A= [ array ll 1 & 1 0 & 1 array ] and B= [ array cc 3 2 & 1 2 - 1 2 & 3 2 array ] then…
Mathematics · JEE Main · NTA Exams — Matrices and Determinants
If \[A=\left[\begin{array}{ll}
1 & 1 \\
0 & 1
\end{array}\right] \text { and } B=\left[\begin{array}{cc}
\frac{\sqrt{3}}{2} & \frac{1}{2} \\
-\frac{1}{2} & \frac{\sqrt{3}}{2}
\end{array}\right]\] then \(\left(B B^{\top} A\right)^{5}\) is equal to
- \(\left[\begin{array}{cc} 2+\sqrt{3} & 1 \\ -1 & 2-\sqrt{3} \end{array}\right]\)
- \(\frac{1}{2}\left[\begin{array}{ll} 1 & 5 \\ 0 & 1 \end{array}\right]\)
- \(\left[\begin{array}{ll} 1 & 5 \\ 0 & 1 \end{array}\right]\)
- \(\left[\begin{array}{ll} 5 & 1 \\ 0 & 1 \end{array}\right]\)
Answer
(C) [ array ll 1 & 5 0 & 1 array ]
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