Abstract
This chapter is about vector spaces and Euclidean spaces, the first part presents definitions and concepts about vector spaces and subspaces, followed by generated subspace, linear dependence and independence, bases and dimension, quotient space, Euclidean spaces and finally the GramSchidt process is given, every section includes several proposed and solved exercises.
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Martínez-Guerra, R., Martínez-Fuentes, O., Montesinos-García, J.J. (2019). Vector and Euclidean Spaces. In: Algebraic and Differential Methods for Nonlinear Control Theory. Mathematical and Analytical Techniques with Applications to Engineering. Springer, Cham. https://doi.org/10.1007/978-3-030-12025-2_6
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DOI: https://doi.org/10.1007/978-3-030-12025-2_6
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Publisher Name: Springer, Cham
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Online ISBN: 978-3-030-12025-2
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