Introduction to Matrix Algebra
by Autar K Kaw
Publisher: University of South Florida 2002
This book is written primarily for students who are at freshman level or do not take a full course in Linear/Matrix Algebra, or wanting a contemporary and applied approach to Matrix Algebra. Eight individual chapters of the book in pdf form are available free of charge.
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by Kaare Brandt Petersen, Michael Syskind Pedersen
The Matrix Cookbook is a free desktop reference on matrix identities, inequalities, approximations and relations useful for different fields such as machine learning, statistics, quantum mechanics, engeneering, chemistry.
by Shmuel Friedland - University of Illinois at Chicago
From the table of contents: Domains, Modules and Matrices; Canonical Forms for Similarity; Functions of Matrices and Analytic Similarity; Inner product spaces; Elements of Multilinear Algebra; Nonnegative matrices; Convexity.
by W. B. V. Kandasamy, F. Smarandache, K. Ilanthenral - arXiv
This book introduces the concept of bimatrices, and studies several notions like bieigen values, bieigen vectors, characteristic bipolynomials, bitransformations, bioperators and bidiagonalization. The concepts of fuzzy bimatrices is introduced.
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A concise overview of matrix algebra's many applications, discussing topics such as reviews of matrices, arrays, and determinants; the characteristic equation; associated integral matrices; equivalence, congruence, and similarity; etc.