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Course Discription |
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Matrix theory and mathematical fundamentals for analysis of linear systems, Effect of round-off error. Maps and operators in finite and infinite dimensional linear vector spaces, metric spaces, and inner-product spaces. Introduction to representation theory. Eigen systems, Spectral theorems and singular value decomposition. Continuity, convergence and separability. Sturm-Louisville theory, Cayley-Hamilton Theory, Least square solution of unsolvable systems. |