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3D Math Primer for Graphics and Game Development, 2nd Edition by Ian Parberry, Fletcher Dunn

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Chapter 6

More on Matrices

Man’s mind stretched to a new idea never goes back to its original dimensions.

— Oliver Wendell Holmes Jr. (1841–1935)

Chapter 4 presented a few of the most of the important properties and operations of matrices and discussed how matrices can be used to express geometric transformations in general. Chapter 5 considered matrices and geometric transforms in detail. This chapter completes our coverage of matrices by discussing a few more interesting and useful matrix operations.

  • Section 6.1 covers the determinant of a matrix.
  • Section 6.2 covers the inverse of a matrix.
  • Section 6.3 discusses orthogonal matrices.
  • Section 6.4 introduces homogeneous vectors and 4 × 4 matrices, and shows how they can be used to perform affine ...

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