Matrix Dilations (Jump to: Lecture | Video )

Figure 1.

Above we have a triangle graphed on a coordinate plane. Its three points (x, y) are displayed in a vertex matrix.

Scalar matrix multiplication can be used to dilate a figure. To dilate a figure is to either enlarge or reduce it around its center.

Let's reduce triangle ABC by half.

To do so, we multiply the vertex matrix by the scalar "0.5".

Figure 2.

Now, we've dilated the triangle:

Figure 3.