Abstract
This chapter contains the basic definitions and facts about vector spaces, together with a thorough discussion of the application of the general results on vector spaces to the determination of the solutions of systems of linear equations. The chapter concludes with an optional section on the geometrical interpretation of the theory of systems of linear equations. Some motivation for the definition of a vector space and the theorems to be proved in this chapter was given in Section 1.
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© 1984 Springer Science+Business Media New York
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Curtis, C.W. (1984). Vector Spaces and Systems of Linear Equations. In: Linear Algebra. Undergraduate Texts in Mathematics. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-1136-5_2
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DOI: https://doi.org/10.1007/978-1-4612-1136-5_2
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4612-7019-5
Online ISBN: 978-1-4612-1136-5
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