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Modern Matrix Algebra
 
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Modern Matrix Algebra [Hardcover]

David R. Hill , Bernard Kolman


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David R. Hill
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For one-term, sophomore-level courses in Introductory Linear Algebra.

This text presents the basic ideas of matrix and linear algebra in such a way that students from diverse majors (who have had some exposure to calculus) will find this text very clear. Both algebraic and geometric reasoning are featured throughout. A spiral approach gradually introduces the abstract foundations of the topics involved—linear combination, closure, subspaces, linear independence/dependence, and bases. Opportunities for a variety of applications, and the optional use of MATLAB, provide hands-on explorations of computations and concepts.


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Amazon.com: 4.0 out of 5 stars (1 customer review)

0 of 1 people found the following review helpful:
4.0 out of 5 stars get a good geometric picture, 10 Mar 2006
By W Boudville - Published on Amazon.com
This review is from: Modern Matrix Algebra (Hardcover)
The math concepts developed in this book are used pervasively in many sciences. And indeed throughout engineering. It is impossible to envisage analysing circuits without matrices.

The book carefully explains the various ideas. If you are careful, you can develop a good geometric intuition, starting with the key idea that a vector sits in Euclidean n-space. And that a matrix can be used to transform from n-space to m-space, where m and n need not be equal.

Certainly, the book shows how to invert matrices; so you get to learn determinants en route. Picking up Matlab is also a useful trait. It relieves you of a lot of tedious computations. When I learnt this stuff, no symbolic algebraic program was easily available. So our problem sets were done by hand.
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