Mathematics, 23.12.2019 23:31 jasminecoronetti44
Find the standard matrix of the linear transformation t: r^2> r^3 that first performs a counterclockwise roation by 60 degree about the origin and then reflects the result through the virticle x2 axis?
Answers: 2
![A_T = \left[\begin{array}{cc}-cos(2/3 \pi)&sen(2/3 \pi)\\sen(2/3\pi)&cos(2/3\pi)\end{array}\right]](/tpl/images/0431/0131/0cd91.png)
![R(2/3 \, \Pi) = \left[\begin{array}{cc}cos(2/3 \pi)&-sen(2/3 \pi)\\sen(2/3\pi)&cos(2/3\pi)\end{array}\right]](/tpl/images/0431/0131/f55dc.png)
![A_{RY} = \left[\begin{array}{cc}-1&0\\0&1\end{array}\right]](/tpl/images/0431/0131/b0361.png)
![A_T = A_{RY} * R(2/3 \, \Pi) = \left[\begin{array}{cc}-cos(2/3 \pi)&sen(2/3 \pi)\\sen(2/3\pi)&cos(2/3\pi)\end{array}\right]](/tpl/images/0431/0131/4364f.png)
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Find the standard matrix of the linear transformation t: r^2> r^3 that first performs a counterc...
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