Question: 60
(Choose 1 answer)
(See picture)
A. (i)
B. (ii)
C. (iii)
E. None of the other choices is correct
D. (iv)
Let :R^{2}\rightarrow R^{2} be rotation through 7\pi/4 . Find the standard matrix of T.
(i)[\begin{matrix}\frac{\sqrt{2}}{2}\frac{\sqrt{2}}{2}\\ -\frac{\sqrt{2}}{2}\frac{\sqrt{2}}{2}\end{matrix}]
(ii)\begin{matrix}\frac{\sqrt{3}}{3}&\frac{\sqrt{3}}{3}\\ -\frac{\sqrt{3}}{3}&\frac{\sqrt{3}}{3}\end{matrix}
(iii)[\begin{matrix}-\frac{\sqrt{2}}{2}-\frac{\sqrt{2}}{2}\\ -\frac{\sqrt{2}}{2}&\frac{\sqrt{2}}{2}\end{matrix}]
(iv) [\begin{matrix}1&1\\ -1&1\end{matrix}]
