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 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 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 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 Andrew Stuart, Jochen Voss - CaltechAUTHORS
An introduction to matrix analysis, and to the basic algorithms of numerical linear algebra. Contents: Vector and Matrix Analysis; Matrix Factorisations; Stability and Conditioning; Complexity of Algorithms; Systems of Linear Equations; etc.