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) $\left[\begin{array}{c} -\frac{\sqrt{2}}{2}-\frac{\sqrt{2}}{2} \ -\frac{\sqrt{2}}{2}-\frac{\sqrt{2}}{2} \end{array}\right]$
D) $\left[ \begin{array} { r r } 1 & 1 \ - 1 & 1 \end{array} \right]$

Question

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) $\left[\begin{array}{c} -\frac{\sqrt{2}}{2}-\frac{\sqrt{2}}{2} \ -\frac{\sqrt{2}}{2}-\frac{\sqrt{2}}{2} \end{array}\right]$ 
D) $\left[ \begin{array} { r r } 1 & 1 \ - 1 & 1 \end{array} \right]$

Quizplus · Accepted Answer

The Answer of 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) $\left[\begin{array}{c} -\frac{\sqrt{2}}{2}-\frac{\sqrt{2}}{2} \ -\frac{\sqrt{2}}{2}-\frac{\sqrt{2}}{2} \end{array}\right]$ 
D) $\left[ \begin{array} { r r } 1 & 1 \ - 1 & 1 \end{array} \right]$

Find the Standard Matrix of the Linear Transformation T R2→>R2\mathfrak { R } ^ { 2 } \rightarrow > \mathfrak { R } ^ { 2 }R2→>R2

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