Bayangan titik P (7,-3) jika didiltasikan dengan skala 2 pada pusat (-2,0) adalah

Diketahui:
x = 7
y = -3
a = -2
b = 0
k = 2

Pembahasan:

[tex] \left[\begin{array}{ccc}x'\\y'\\\end{array}\right] = \left[\begin{array}{ccc}k&0\\0&k\\\end{array}\right] \left[\begin{array}{ccc}x-a\\y-b\\\end{array}\right] + \left[\begin{array}{ccc}a\\b\\\end{array}\right] \\ \\ \\ \left[\begin{array}{ccc}x'\\y'\\\end{array}\right] = \left[\begin{array}{ccc}2&0\\0&2\\\end{array}\right] \left[\begin{array}{ccc}7+2\\-3-0\\\end{array}\right] + \left[\begin{array}{ccc}-2\\0\\\end{array}\right] \\ \\ \\ [tex]
  \left[\begin{array}{ccc}x'\\y'\\\end{array}\right] = \left[\begin{array}{ccc}2&0\\0&2\\\end{array}\right] \left[\begin{array}{ccc}9\\-3\\\end{array}\right] + \left[\begin{array}{ccc}-2\\0\\\end{array}\right] \\ \\ \\ \left[\begin{array}{ccc}x'\\y'\\\end{array}\right] =\left[\begin{array}{ccc}18\\-6\\\end{array}\right] + \left[\begin{array}{ccc}-2\\0\\\end{array}\right] \\ \\ \\ \left[\begin{array}{ccc}x'\\y'\\\end{array}\right] =\left[\begin{array}{ccc}16\\-6\\\end{array}\right] [/tex]