by Marco Taboga
Publisher: StatLect 2021
Number of pages: 320
This book is a collection of 98 short and self-contained lectures on some of the most important topics in linear algebra. There are hundreds of examples, solved exercises and detailed derivations of important results. The step-by-step approach makes the book easy to understand and ideal for self-study. One of the main aims of the book is to be a time saver: proofs are never left to the reader; all the exercises are fully solved; useful concepts from previous chapters are systematically referenced; the reader is always shown how to do the tedious algebra.
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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.
by C.C. MacDuffee - Chelsea
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.
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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.
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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.