Practicing Success
Let \(A(\theta)=\left[\begin{array}{ll}\cos \theta & \sin \theta\\ -\sin \theta & \cos \theta\end{array}\right]\). Then which of the following is true |
\(A(\theta)^{-1}\) does not exist \((A(\theta))^{2022}=A(2022\theta)\) \(A(\theta)\) is a symmetric matrix \(A(\theta)\) is a skew-symmetric matrix |
\((A(\theta))^{2022}=A(2022\theta)\) |
By induction, note that \(A\left(\theta\right)^{n}=A(n \theta)\) |