Practicing Success
If \(P\left(x\right)=\left[\begin{array}{ll}\cos x & \sin x\\ -\sin x& \cos x\end{array}\right]\) and \(n \in \mathbb{N}\) then which of the following holds |
\(P\left(x\right)^{n}=P\left(x^{n}\right)\) \(P\left(x^{n}\right)=P\left(nx\right)\) \(P\left(x^{n}\right)=P\left(x^{n-1}\right)\) \(P\left(x^{n}\right)=nP\left(x\right)\) |
\(P\left(x^{n}\right)=P\left(nx\right)\) |
Multiply \(P\left(x\right)\) with \(P\left(x\right)\) and try to see what are we getting |