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Accessible to advanced undergraduates and beginning graduate students, Intermediate Topics in Matrix Theory is designed for a second course in matrix theory and linear algebra. It features the idea of generalized inverse of a matrix, especially the Moore-Penrose inverse, and employs the concept of full-rank factorization throughout the text. It presents important ideas including the Henderson and Searle formulas, Schur complements, the Sherman-Morrison-Woodbury formula, the LU factorization, the Frame algorithm, the Cayley-Hamilton theorem, Sylvester's Rank formula, and much more. Concrete...