Linear Algebra :Eigen Value and Eigen Vectors and Their Applications

Abstract: Linear algebra is the branch of mathematics that concerned with the study of vectors,vector spaces(linear spaces), linear maps(linear transformations') and system of linear equations. Linear space is the central theme in modern mathematics that is widely used in both abstract algebra and functional analysis.Linear algebra also has a concrete representation in analytical geometry and in generalized operator theory. It has extensive applications in natural sciences as well as social sciences. Here in this paper we are presenting a study on linear algebra and associated linear equations, also the eigen values and eigen vectors as a subtopic and few applications of it.the work basically focuses n eigen values and eigen vectors their useful properties including some applications of it.