Vector Spaces

Larisa Beilina (), Evgenii Karchevskii and Mikhail Karchevskii
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Larisa Beilina: Chalmers University of Technology and University of Gothenburg, Department of Mathematical Sciences
Evgenii Karchevskii: Kazan Federal University, Department of Applied Mathematics
Mikhail Karchevskii: Kazan Federal University, Department of Computational Mathematics

Chapter Chapter 2 in Numerical Linear Algebra: Theory and Applications, 2017, pp 55-68 from Springer

Abstract: Abstract In courses on analytic geometry, basic operations with vectors in three-dimensional Euclidean space are studied. If some basis in the space is fixed, then a one-to-one correspondence between geometric vectors and ordered triples of real numbers (the coordinates of vectors in the basis) is determined, and algebraic operations with vector coordinates can be substituted for geometric operations with the vectors themselves.

Date: 2017
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DOI: 10.1007/978-3-319-57304-5_2

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