Titik P(-3,1) dipetakan oleh rotasi dengan pusat 0 sejauh 90° dilanjutkan dengan translasi T =(3/4) peta titik P adalah?

jawab
P(x,y)= (-3,1)
R [O, 90°]
T (a,b) = (3 , 4)

[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]\,+\, \left[\begin{array}{ccc}a\\b\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}-3\\1\end{array}\right]\,+\, \left[\begin{array}{ccc}3\\4\end{array}\right] [/tex]

[tex]\left[\begin{array}{ccc}x'\\y'\end{array}\right]\,=\, \left[\begin{array}{ccc}-1\\-3\end{array}\right]\,+\, \left[\begin{array}{ccc}3\\4\end{array}\right]\,=\left[\begin{array}{ccc}2\\1\end{array}\right][/tex]

bayangannya  (2, 1)