If \(A = \begin{bmatrix} cos\,\theta & sin\,\theta \\[0.3em] -sin\,\t

1.	If \(A = \begin{bmatrix} cos\,\theta & sin\,\theta \\[0.3em] -sin\,\theta & cos\,\theta \end{bmatrix}\) , then write An.
Answer» Given, \(A = \begin{bmatrix}cos\,\theta & sin\,\theta \\[0.3em]-sin\,\theta & cos\,\theta\end{bmatrix}\) ∴ \(A^n = \begin{bmatrix}cos\,n\theta & sin\,n\theta \\[0.3em]-sin\,n\theta & cos\,n\theta\end{bmatrix}\)

If \(A = \begin{bmatrix} cos\,\theta & sin\,\theta \\[0.3em] -sin\,\theta & cos\,\theta \end{bmatrix}\) , then write An.

Answer»

Given,

\(A = \begin{bmatrix}cos\,\theta & sin\,\theta \\[0.3em]-sin\,\theta & cos\,\theta\end{bmatrix}\)

∴ \(A^n = \begin{bmatrix}cos\,n\theta & sin\,n\theta \\[0.3em]-sin\,n\theta & cos\,n\theta\end{bmatrix}\)