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Matrix Algebra

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Mathematics for Computer Graphics

Part of the book series: Undergraduate Topics in Computer Science ((UTICS))

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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.

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Correspondence to John Vince M.Tech, Ph.D., D.Sc. .

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© 2017 Springer-Verlag London Ltd.

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Vince, J. (2017). Matrix Algebra. In: Mathematics for Computer Graphics. Undergraduate Topics in Computer Science. Springer, London. https://doi.org/10.1007/978-1-4471-7336-6_8

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  • DOI: https://doi.org/10.1007/978-1-4471-7336-6_8

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  • Publisher Name: Springer, London

  • Print ISBN: 978-1-4471-7334-2

  • Online ISBN: 978-1-4471-7336-6

  • eBook Packages: Computer ScienceComputer Science (R0)

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