Matrix Algebra
β Scribed by Abadir K.M., Magnus J.R.
- Book ID
- 127447557
- Year
- 2005
- Tongue
- English
- Weight
- 2 MB
- Category
- Library
- ISBN-13
- 9780511343179
No coin nor oath required. For personal study only.
β¦ Synopsis
Matrix Algebra is the first volume of the Econometric Exercises Series. It contains exercises relating to course material in matrix algebra that students are expected to know while enrolled in an (advanced) undegraduate or a postgraduate course in econometrics or statistics. The book contains a comprehensive collection of exercises, all with full answers. But the book is not just a collection of exercises; in fact, it is a textbook, though one that is organized in a completely different manner than the usual textbook. The volume can be used either as a self-contained course in matrix algebra or as a supplementary text.
π SIMILAR VOLUMES
If A and B are square matrices such that AB = I , then BA = I automatically follows. We prove a combinatorial version of this result in the case where the entries of A and B count collections of signed, weighted objects. Specifically, we give an algorithm that transforms any given bijective proof of
We study the algebra of the arithmetic of integer matrices. A link is established between the divisor classes of matrices and lattices. The algebra of arithmetical functions of integral matrices is then shown to be isomorphic to an extension of the Hecke algebra, also called a Hall algebra in combin
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.