Abstract
Till now we have studied concepts like subspace, dimension, linear transformations and their representations, linear equations, inverse and determinant, which are valid over any field F. We have also given the geometric interpretation of some of these over ℝ. In the Euclidean spaces ℝ2 and ℝ3 there are two other concepts, viz., length (or distance) and angle which have no analogues over a general field. In this chapter we study these two concepts.
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© 2000 Hindustan Book Agency
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Rao, A.R., Bhimasankaram, P. (2000). Inner product and orthogonality. In: Linear Algebra. Texts and Readings in Mathematics, vol 19. Hindustan Book Agency, Gurgaon. https://doi.org/10.1007/978-93-86279-01-9_8
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DOI: https://doi.org/10.1007/978-93-86279-01-9_8
Publisher Name: Hindustan Book Agency, Gurgaon
Print ISBN: 978-81-85931-26-5
Online ISBN: 978-93-86279-01-9
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