A Review based study on the perspectives of Linear algebra & Matrix in Mathematics

Abstract

A research on the linear algebra and matrixes in mathematics is presented here as part of this article. In the field of mathematics known as linear algebra, topics such as vectors, vector spaces (also known as linear spaces), linear mappings (also known as linear transformations), and systems of linear equations are all subjects that can be studied. Linear algebra is a subfield of algebra. Given that the study of vector spaces is a fundamental topic in modern mathematics, linear algebra plays a significant role not just in abstract algebra but also in functional analysis. Additionally, a tangible representation of linear algebra can be found in analytic geometry, and operator theory generalizes linear algebra further. Due to the fact that nonlinear models are frequently approximal by linear ones, it has a wide range of applications in both the natural sciences and the social sciences.