Finite-Dimensional Vector Spaces and Matrices

Anthony N. Michel and Charles J. Herget
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Anthony N. Michel: University of Notre Dame, Department of Electrical Engineering
Charles J. Herget: Herget Associates

Chapter 4 in Algebra and Analysis for Engineers and Scientists, 2007, pp 124-262 from Springer

Abstract: 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.

Keywords: Vector Space; Orthonormal Basis; Linear Transformation; Linear Subspace; Minimal Polynomial (search for similar items in EconPapers)
Date: 2007
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-0-8176-4707-0_4

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DOI: 10.1007/978-0-8176-4707-0_4

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