Best History of linear algebra

Linear algebra is one of the crucial branches of the mathematics. This branch consists of a set of mathematical methods that are used in studying systems by using algorithms. The main idea behind the study of linear algebra is to make use of matrices and vectors in order to come up with solutions to problems that involve linear relationships between variables.

 

Linear Algebra is a so called “abstract” mathematical discipline in that we deal with sets and functions, not concrete quantities like numbers or figures. Linear algebra is about solving systems of linear equations. The simplest example for a system of linear equations is — at least to my knowledge — the situation of checking whether a line passes through two points.

 

In linear algebra, matrices play a fundamental role in many areas of mathematics. For instance, linear algebra can be used to study lines and planes in 3-dimensional space. The solutions of linear systems of equations form the basis of several fields in pure and applied mathematics such as the theory of differential equations, numerical analysis, and matrix analysis. Linear algebra is also employed in most disciplines that involve linear models, such as statistics and machine learning.