Keeping the modest goal as a text book on matrix theory the approach here is straight forward and quite elementary. Using elementary row operations and Gram-Schmidt orthogonalization as basic tools the text develops characterization of equivalence and similarity and various factorizations such as rank factorization OR-factorization Schur triangularization Diagonalization of normal matrices Jordan decomposition singular value decomposition and polar decomposition. Along with Gauss-Jordan eliminat
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