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Published in:
2017 | OriginalPaper | Chapter
8. Matrix Algebra
Author : Professor Emeritus John Vince, M.Tech, Ph.D., D.Sc.
Published in: Mathematics for Computer Graphics
Publisher: Springer London
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Abstract
This
chapter introduces matrix algebra, which is a notation widely used in computer graphics. Matrices are used to scale, translate, reflect, shear and rotate 2D shapes and 3D objects, and like determinants, have their background in algebra and offer another way to represent and manipulate equations. Matrices can be added, subtracted and multiplied together, and even inverted, however, they must give the same result obtained through traditional algebraic techniques. Once you have understood the idea behind matrix notation, feel free to go to the next chapter and study their role in geometric transforms, and come back to the more advanced ideas in this chapter.