Transformation of Graphs Using Matrices - Dilation

A type of transformation that occurs when a figure is enlarged or reduced, the transformation is called a dilation. A dilation requires a center point and a scale factor. You can use scalar multiplication to perform dilations in matrices.

Example:

Write the vertex matrix for ΔABC with A(2,1),B(1,3),andC(3,2) . Then find the coordinates of the vertices of Δ A ' B ' C ' after a dilation by a scale factor of 2 .

[ 2 1 3 1 3 2 ]

The scale factor is 2 . So, multiply the vertex matrix by the scale factor of 2 .

2[ 2 1 3 1 3 2 ]=[ 4 2 6 2 6 4 ]

The coordinates of the vertices of Δ A ' B ' C ' are A ' (4,2), B ' (2,6),and C ' (6,4) .