Abstract
In Sect. 3 the notion of scalar product on a finite dimensional real vector space has been introduced as a bilinear symmetric map \(\cdot \,:\, V\times V\,\rightarrow \,\mathbb R\) with additional properties.
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- 1.
The reason why we denote the first element by \(e_0\) and the corresponding component of a vector v by \(v_0\) comes from physics, since such components is identified with the time coordinate of an event.
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© 2018 Springer International Publishing AG, part of Springer Nature
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Landi, G., Zampini, A. (2018). Quadratic Forms. In: Linear Algebra and Analytic Geometry for Physical Sciences. Undergraduate Lecture Notes in Physics. Springer, Cham. https://doi.org/10.1007/978-3-319-78361-1_13
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DOI: https://doi.org/10.1007/978-3-319-78361-1_13
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