Vectors, Vector Spaces, Matrices & Determinants, Cofactor and Inverse, Rank, Linear Independence, Solution of system of Linear systems, Positive Definite matrix, Linear Transformations, Operations on matrices, Inner products, orthgonality and least squares, Eigen value & Eigenvectors. Applications to Systems of Equations and to Geometry, Singular Value Decomposition.
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Elementary Linear Algebra with Applications by 
Linear Algebra and Its Applications by 
Schaum's outline of theory and problems of linear algebra by 
