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Vectors and Matrices

  • Yair ShapiraEmail author
Chapter

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 (xy). 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.”

Copyright information

© Springer Nature Switzerland AG 2019

Authors and Affiliations

  1. 1.Department of Computer ScienceTechnion, Israel Institute of TechnologyHaifaIsrael

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