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**About this book :- **
**Introduction to Linear Algebra (5E Solutions Manual) ** written by
** Gilbert Strang **.
This textbooks have changed the entire approach to learning linear algebra -- away from abstract vector spaces to specific examples of the four fundamental subspaces: the column space and nullspace of A and A'.

This new fifth edition has become more than a textbook for the basic linear algebra course. That is its first purpose and always will be. The new chapters about applications of the SVD, probability and statistics, and Principal Component Analysis in finance and genetics, make it also a textbook for a second course, plus a resource at work. Linear algebra has become central in modern applied mathematics. This book supports the value of understanding linear algebra.

Introduction to Linear Algebra, Fifth Edition includes challenge problems to complement the review problems that have been highly praised in previous editions. The basic course is followed by eight applications: differential equations in engineering, graphs and networks, statistics, Fourier methods and the FFT, linear programming, computer graphics, cryptography, Principal Component Analysis, and singular values. Audience: Thousands of teachers in colleges and universities and now high schools are using this book, which truly explains this crucial subject. This text is for readers everywhere, with support from the websites and video lectures. Every chapter begins with a summary for efficient review.

**Book Detail :- **
** Title: ** Introduction to Linear Algebra (Solutions Manual)
** Edition: ** Fifth Edition
** Author(s): ** Gilbert Strang
** Publisher: ** Wellesley-Cambridge Press
** Series: **
** Year: ** 2016
** Pages: ** 186
** Type: ** PDF
** Language: ** English
** ISBN: ** 0980232775,9780980232776
** Country: ** US
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**About Author :- **
The author ** Gilbert Strang ** is an American mathematician, with contributions to finite element theory, the calculus of variations, wavelet analysis and linear algebra.
He has made many contributions to mathematics education, including publishing seven mathematics textbooks and one monograph. Strang is the MathWorks Professor of Mathematics at the Massachusetts Institute of Technology. He teaches Introduction to Linear Algebra, Computational Science and Engineering, and Matrix Methods and his lectures are freely available through MIT OpenCourseWare.

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**Book Contents :- **
**Introduction to Linear Algebra (Solutions Manual) ** written by
** Gilbert Strang **
cover the following topics.
'

1. Introduction to Vectors

2. Solving Linear Equations

3. Vector Spaces And Subspaces

4. Orthogonality

5. Determinants

6. Eigenvalues and Eigenvectors

7. The Singular Value Decomposition (SVD)

8. Linear Transformations

9. Complex Vectors And Matrices

10. Applications

11. Numerical Linear Algebra

12. Linear Algebra in Probability & Statistics

Matrix Factorizations

Index

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