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Abstract
In this we present a study on the linear algebra and matrix in mathematics. Linear alge bra is the branch of mathematics concerned with the study of vectors, vector spaces, linear maps and system of linear equations. Linear transformation is a special class of function b=f(x) where the independent variable x is vector in R^n and the dependent variable b is vector in R^m. Linear algebra and Matrix have many important applications in physics, engineering, social sciences, analytic geometry.