Download Linear Algebra – This is a book on linear algebra and matrix theory. While it is self contained, it will work best for those who have already had some exposure to linear algebra. It is also assumed that the reader has had calculus. Some optional topics require more analysis than this, however.
I think that the subject of linear algebra is likely the most significant topic discussed in undergraduate mathematics courses.
Part of the reason for this is its usefulness in unifying so many different topics. Linear algebra is essential in analysis, applied math, and even in theoretical mathematics. This is the point of view of this book, more than a presentation of linear algebra for its own sake. This is why there are numerous applications, some fairly unusual.
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Contents
11  
39  
41  
77  
Row Operations

105 
Some Factorizations

123 
Linear Programming

135 
3

137 
Markov Chains And Migration Processes

275 
Inner Product Spaces

287 
Norms For Finite Dimensional Vector Spaces

337 
Numerical Methods For Finding Eigenvalues

371 
APositiveMatrices

403 
BFunctionsOfMatrices

411 
Applications To Differential Equations

417 
Compactness And Completeness

439 
Spectral Theory

157 
9LinearTransformations

225 
10LinearTransformationsCanonicalForms

245 
G Answers To Selected Exercises

487 
Title  Linear Algebra: Theory and Applications Open Textbook Library 
Author  Kenneth Kuttler 
Publisher  The Saylor Foundation, 2012 
Length  503 pages 
Subjects 
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Great book.. I really enjoyed it a lot.. Thanks for that
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