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 with A (2, 1), B (–1, 3), and C (–3, –2). Then find the coordinates of the vertices of after a dilation by a scale factor of 2.

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

The coordinates of the vertices of are