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Mathematics LibreTexts

8: Permutations and the Determinant

  • Page ID
    284
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    There are many operations that can be applied to a square matrix. This chapter is devoted to one particularly important operation called the determinant. In effect, the determinant can be thought of as a single number that is used to check for many of the different properties that a matrix might possess. In order to define the determinant operation, we will first need to define permutations.

    • 8.1: Permutations
      Permutations appear in many different mathematical concepts, and so we give a general introduction to them in this section.
    • 8.2: Determinants
      Now that we have developed the appropriate background material on permutations, we are finally ready to define the determinant and explore its many important properties.
    • 8.E: Exercises for Chapter 8