The Matrix Cookbook
by Kaare Brandt Petersen, Michael Syskind Pedersen
Number of pages: 67
These pages are a collection of facts (identities, approximations, inequalities, relations, ...) about matrices and matters relating to them. It is collected in this form for the convenience of anyone who wants a quick desktop reference.
Download or read it online for free here:
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.
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 Autar K Kaw - University of South Florida
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 chapters of the book are available for free.
by Marco Taboga - StatLect
This is a collection of 98 short and self-contained lectures on the most important topics in linear algebra. There are hundreds of examples, solved exercises and detailed derivations. The step-by-step approach makes the book easy to understand.