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 R. Kochendörfer - Teubner
Basic methods and concepts are introduced. From the table of contents: Preliminaries; Determinants; Matrices; Vector spaces. Rank of a matrix; Linear Spaces; Hermitian/Quadratic forms; More about determinants and matrices; Similarity.
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. Vasantha Kandasamy, Florentin Smarandache - arXiv
The authors introduce a new type of product on matrices called the natural product Xn - an extension of product in the case or row matrices of the same order. When two matrices of same order can be added, nothing prevents one from multiplying them.
by Leif Mejlbro - BookBoon
The book is a collection of solved problems in linear algebra, this third volume covers the eigenvalue problem and Euclidean vector space. All examples are solved, and the solutions usually consist of step-by-step instructions.