Mathematics, 18.03.2020 23:34 ForbesDrew
Find the standard matrix of the linear transformation T. T: R^2->R^2 rotates points (about the origin) through 7/4π radians (with counterclockwise) rotation for a positive angle.
Answers: 3
is a transformation that rotates each point in 
about the origin through an angle 
![e_1=\left[\begin{array}{ccc}1\\0\end{array}\right] =\left[\begin{array}{ccc}\cos\theta\\\sin\theta\end{array}\right] \\\\e_2=\left[\begin{array}{ccc}0\\1\end{array}\right] =\left[\begin{array}{ccc}-\sin\theta\\-\cos\theta\end{array}\right]](/tpl/images/0552/8644/f9369.png)
![\left[\begin{array}{ccc}\cos\frac{7}{4\pi}&-\sin\frac{7}{4\pi}\\\\\sin\frac{7}{4\pi}&\cos\frac{7}{4\pi}\end{array}\right]](/tpl/images/0552/8644/fcb38.png)
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Find the standard matrix of the linear transformation T. T: R^2->R^2 rotates points (about the or...
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