Find the Standard Matrix of the Linear Transformation T $\mathfrak { R } ^ { 2 } \rightarrow > \mathfrak { R } ^ { 2 }$

Multiple Choice

Find the standard matrix of the linear transformation T.
-T: $\mathfrak { R } ^ { 2 } \rightarrow > \mathfrak { R } ^ { 2 }$ rotates points (about the origin) through $\frac { 7 } { 4 } \pi$ radians (with counterclockwise rotation for a positive angle) .

A)
$\left[\begin{array}{c}\frac{\sqrt{3}}{3} \frac{\sqrt{3}}{3} \\-\frac{\sqrt{3}}{3} \frac{\sqrt{3}}{3}\end{array}\right]$

B) $\left[\begin{array}{c}-\frac{\sqrt{2}}{2}-\frac{\sqrt{2}}{2} \\-\frac{\sqrt{2}}{2}-\frac{\sqrt{2}}{2}\end{array}\right]$
C)


D)
$\left[ \begin{array} { r r } 1 & 1 \\ - 1 & 1 \end{array} \right]$