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Published in:
2019 | OriginalPaper | Chapter
1. Vectors and Matrices
Author : Yair Shapira
Published in: Linear Algebra and Group Theory for Physicists and Engineers
Publisher: Springer International Publishing
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Abstract
What is a vector? It is a finite list of (real) numbers: scalars or components. In a geometrical context, the components have yet another name: coordinates. In the two-dimensional Cartesian plane, for example, a vector contains two coordinates: the x- and y-coordinates. This is why the vector is often denoted by the pair (x, y). Geometrically, this can also be viewed as an arrow, leading from the origin (0, 0) to the point \((x, y)\in \mathbb {R}^2\). Here, \(\mathbb {R}\) is the real axis, \(\mathbb {R}^2\) is the Cartesian plane, and “\(\in \)” means “belongs to.”