Bayangan titik P(2, -3) oleh rotasi R(0, 90) adalah jawab beserta caranya

jawab

rotasi { O, 90°}
P(x,y)= (2 , -3)

[tex] \left[\begin{array}{ccc}x'\\y'\end{array}\right]\,=\, \left[\begin{array}{ccc}cos\,90&-sin\,90\\sin\,90&cos\,90\end{array}\right] \, \left[\begin{array}{ccc}x\\y\end{array}\right] [/tex]


[tex]\left[\begin{array}{ccc}x'\\y'\end{array}\right]\,=\, \left[\begin{array}{ccc}0&-1\\1&0\end{array}\right]\, \left[\begin{array}{ccc}2\\-3\end{array}\right][/tex]

[tex]\left[\begin{array}{ccc}x'\\y'\end{array}\right]\,=\, \left[\begin{array}{ccc}3\\2\end{array}\right][/tex]