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.
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© 2007 Birkhäuser Boston
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Michel, A.N., Herget, C.J. (2007). Finite-Dimensional Vector Spaces and Matrices. In: Algebra and Analysis for Engineers and Scientists. Birkhäuser Boston. https://doi.org/10.1007/978-0-8176-4707-0_4
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DOI: https://doi.org/10.1007/978-0-8176-4707-0_4
Publisher Name: Birkhäuser Boston
Print ISBN: 978-0-8176-4706-3
Online ISBN: 978-0-8176-4707-0
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