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Finite-Dimensional Vector Spaces and Matrices

In: Algebra and Analysis for Engineers and Scientists

Author

Listed:
  • Anthony N. Michel

    (University of Notre Dame, Department of Electrical Engineering)

  • Charles J. Herget

    (Herget Associates)

Abstract

In the present chapter we examine some of the properties of finite-dimensional linear spaces. We will show how elements of such spaces are represented by coordinate vectors and how linear transformations on such spaces are represented by means of matrices. We then will study some of the important properties of matrices. Also, we will investigate in some detail a special type of vector space, called the Euclidean space. This space is one of the most important spaces encountered in applied mathematics.

Suggested Citation

  • Anthony N. Michel & Charles J. Herget, 2007. "Finite-Dimensional Vector Spaces and Matrices," Springer Books, in: Algebra and Analysis for Engineers and Scientists, chapter 4, pages 124-262, Springer.
    • Handle: RePEc:spr:sprchp:978-0-8176-4707-0_4
    DOI: 10.1007/978-0-8176-4707-0_4
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