Linear Algebra and Matrix Theory

 This course covers the following topics: Systems of linear equations, Elimination methods (Gauss, Jordan), Matrices (operations and properties), Elementary matrices and the inverse of matrix. Matrix methods for solving linear systems, Determinants, Vector spaces and subspaces, Linear independence, Basis and Dimension, the four Fundamental subspaces of a matrix, Inner product spaces, Orthonormal bases, Eigenvalues and eigenvectors, Diagonalization, Jordan form, General linear transformations, Inverse of a linear transformations and applications.

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