Fully rigorous treatment starts with basics and progresses to sweepout process for obtaining complete solution of any given system of linear equations and role of matrix algebra in presentation of useful geometric ideas, techniques, and terminology. Also, commonly used properties of determinants, linear operators and linear transformations of coordinates. 1973 edition.
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23 of 25 people found the following review helpful:
5.0 out of 5 stars
clear and careful exposition,
By science-buff (Fremont, CA, USA) - See all my reviews
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This review is from: Elementary Matrix Algebra (Dover Books on Mathematics) (Paperback)
The definitions and derivations are clear and carefully explained. The text starts with the basics, and moves at a brisk and comfortable pace to quite advanced matrix operations and properties. Quite a lot of numerical examples are given throughout the text as examples/counter-examples to clarify misconceptions and surprising properties of a matrix (such as the presence of divisors of zero). There are a large number of exercises included, and the later ones in a section are usually quite challenging and enlightening; many of them extend the main text substantially without increasing the length of the exposition. Some of the matrix and vector space notations used are dated (circa 1973). But otherwise this is a great text to get up to speed with and to lay a solid foundation for more advanced matrix texts like Gantmacher and Horn/Johnson.
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24
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- Graphs: Theory and Algorithms by K. Thulasiraman on page 96, and page 176
- Mathematics for Circuits and Filters by Wai-Kai Chen on page 242, and page 255
- Mathematical Tools for Applied Multivariate Analysis, Revised Edition by J. Douglas Carroll in Back Matter
- Stereology and Stochastic Geometry (Computational Imaging and Vision) by John E. Hilliard in Back Matter
- Computer Software Applications in Chemistry, 2nd Edition by Peter C. Jurs on page 103
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