WBJEE · Maths · Matrices
Let \(A=\left(\begin{array}{lll}0 & 0 & 1 \\ 1 & 0 & 0 \\ 0 & 0 & 0\end{array}\right), B=\left(\begin{array}{lll}0 & 1 & 0 \\ 0 & 0 & 1 \\ 0 & 0 & 0\end{array}\right)\) and \(P=\left(\begin{array}{lll}0 & 1 & 0 \\ x & 0 & 0 \\ 0 & 0 & y\end{array}\right)\) be an orthogonal matrix such that \(B=PAP^{-1}\) holds. Then
- A \(x=1=y\)
- B \(x=1, y=0\)
- C \(x=0, y=1\)
- D \(x=-1, y=0\)
Answer & Solution
Correct Answer
(A) \(x=1=y\)
Step-by-step Solution
Detailed explanation
Hint : \(B=P A P^{-1}\) \(P^{-1} B P=P^{-1} P A P^{-1} P\)…
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