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**About this book :- **
**Linear Algebra & Matrix Theory ** written by
** Jimmie Gilbert, Linda Gilbert **.

This text was planned for use with one of the following two options:

• The complete text would be suitable for a one-year undergraduate course for mathematics majors and would provide a strong foundation for more abstract courses at higher levels of instruction.

• A one-semester or one-quarter course could be taught from the first five chapters together with selections from the remaining chapters. The selections could be chosen so as to meet the requirements of students in the fields of business, science, economics, or engineering.

The presentation of material presumes the knowledge and maturity gained from one calculus course, and a second calculus course is a desirable prerequisite. Linear algebra is well suited to provide the transition from the intuitive developments of courses at a lower level to the more abstract treatments encountered later. Throughout the treatment here, material is presented from a structural point of view: fundamental algebraic properties of the entities involved are emphasized. This approach is particularly important because the mathematical systems encountered in linear algebra furnish a wealth of examples for the structures studied in more advanced courses.

(Jimmie Gilbert, Linda Gilbert)

**Book Detail :- **
** Title: ** Linear Algebra & Matrix Theory
** Edition: **
** Author(s): ** Jimmie Gilbert, Linda Gilbert
** Publisher: ** Elsevier Inc
** Series: **
** Year: ** 1995
** Pages: ** 393
** Type: ** PDF
** Language: ** English
** ISBN: ** 978-0-08-051025-5
** Country: ** US
** Download this Book from Amazon **

**About Author :- **

Linda Phillips Gilbert Saucier (born 1948) is an American mathematician and textbook author, a distinguished professor emerita of mathematics and computer science at the University of South Carolina Upstate.

Linda Gilbert was the daughter of Rudd George Phillips, an education specialist for the United States Air Force. She grew up in Gulfport, Mississippi, and earned B.S., M.S., and Ph.D. degrees from Louisiana Tech University in 1970, 1972, and 1977 respectively. Her dissertation applied linear algebra to epidemiology; it was titled An application of the Jordan canonical form to the epidemic problem. She also became a faculty member at Louisiana Tech with her husband and co-author, Jimmie Gilbert.

Her husband Jimmie died in 2005. She retired from the University of South Carolina Upstate and was given the distinguished professor emerita title in 2011.

Jimmie Gilbert , Late of University of South Carolina Upstate.

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**Book Contents :- **
**Linear Algebra & Matrix Theory ** written by
** Jimmie Gilbert, Linda Gilbert **
cover the following topics.

1. Real Coordinate Spaces

2. Elementary Operations on Vectors

3. Matrix Multiplication

4. Vector Spaces, Matrices, and Linear Equations

5. Linear Transformations

6. Determinants

7. Eigenvalues and Eigenvectors

8. Functions of Vectors

9. Inner Product Spaces

10. Spectral Decompositions

Answers to Selected Exercises

Index

**Note:-**

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