ditentukan matrijs transformasi T1 (1 -1 1 2) dan T2 (0 -1 1 0) hasil transformasi titik (2,-1) terhadap T1 dilanjutkan T2

jawab

Trasformasi T1 dilanjutkan T2 = T2 o T1

(x', y') = T2 o T1 (x,y)

[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}1&-1\\1&2\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}-1&-2\\-1&1\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}-1&-2\\-1&1\end{array}\right]\,\left[\begin{array}{ccc}2\\-1\end{array}\right][/tex]

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