Building Upon The Sequence Of Topics Of The Popular 5Th Edition, Linear Algebra With Applications, Alternate Seventh Edition Provides Instructors With An Alternative Presentation Of Course Material. In This Edition Earlier Chapters Cover Systems Of Linear Equations, Matrices, And Determinates. The Vector Space Rn Is Introduced In Chapter 4, Leading Directly Into General Vector Spaces And Linear Transformations. This Order Of Topics Is Ideal For Those Preparing To Use Linear Equations And Matrices In Their Own Fields. New Exercises And Modern, Real-World Applications Allow Students To Test Themselves On Relevant Key Material And A MATLAB Manual, Included As An Appendix, Provides 29 Sections Of Computational Problems.
This is great as an introduction to linear algebra or for someone who wants to know how to use linear algebra to solve practical problems. Every chapter ends with applications such as using markov chains to quantify population movements and genetics, google, weather prediction, cryptography (hamming codes), Quadratic forms (relativity) , difference equations, normal modes, economics, fractals, traffic flow, electrical networks. This is an essential book in my opinion.
An interestingly formatted book- touches briefly on topics like linear independence, and determinants in the first couple of chapters, then re-covers them a few chapters later. Not as useful as just covering any given topic all at once, I think.
The problems were also not quite ideal- either too easy (trivial computations) or too difficult (abstract proofs). This book definitely works best if you've already had a proofs class.
That said, explanations of concepts were pretty clear, examples were useful, and the text was very readable. There were also optional sections on practical applications of linear algebra, which were neat to read
Overall, a good reference book and source for problems, but not what I'd choose for a primary text.