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Matrices in computer graphics are the transformations given to each coordinate in the model. Each Matrix is a combination of multiple transformations to apply to a coordinate (a point in 3-space).

Building a transformation is based from one of three transform types: Translate, Rotate and Scale.

A translation matrix is something like:

A Translation Matrix

And a scale matrix: Scale matrix

Rotation matrices look like:

enter image description here

To combine any of these matrices you just multiply them together. To apply the transformation to a vertex just multiply to the vertex (as seen in the translation diagram).