Modelling with an Algebraic Expression : A Review

Abstract

Vectors in Cartesian two- and three-dimensional space were a precursor to linear algebra. Line segments that are guided by both magnitude and direction are called vectors, and they are defined as such. Using vectors to represent physical elements such as forces, as well as adding and multiplying them with scalars, the first real vector space is created. It is now possible to study linear algebra in arbitrary or infinite dimensions in modern times. An n-space is a vector space of dimension n. In these higher dimensional spaces, most of the valuable conclusions from 2- and 3-space may be extended. Despite the fact that n-space vectors or n-tuples can't be readily seen by humans, they are valuable in describing data. It is feasible to effectively summarise and handle data using vectors as n-tuples, which are ordered lists of n components. In economics, for example, the Gross National Product of eight nations may be represented by 8-dimensional vectors or 8-tuples.