To Study on Matrices and Vector Spaces of Graphs

Applications of Linear Algebra in Natural and Social Sciences

Abstract

We are presenting a research in mathematics on the linear algebra and matrix. Mathematical model is the area of mathematics which focuses on vector analysis, abstract algebra (also referred to as linear space), linear maps (also referred to as linear transformations) and linear function structures. Vector spaces are a key concept of contemporary mathematics therefore, linear algebra is commonly used in both abstract algebra and functional analysis. Linear algebra also has a concrete expression in analytic geometry and it is extended in function theory. It has broad applications in the natural sciences and the social sciences, because nonlinear models can sometimes be approximated by linear ones.