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Formerly Known As Introductory Linear Algebra 8th Edition which wasn't available in PDF form, this one is 9th Edition in PDF with New Name Elementary Linear Algebra.
Authors: Bernard Kolman, David Hill.
This book presents the basic ideas of linear algebra in a manner that users will find understandable. It offers a fine balance between abstraction/theory and computational skills, and gives readers an excellent opportunity to learn how to handle abstract concepts. Included in this comprehensive and easy-to-follow manual are these topics: linear equations and matrices; solving linear systems; real vector spaces; inner product spaces; linear transformations and matrices; determinants; eigenvalues and eigenvectors; differential equations; and MATLAB for linear algebra. Because this book gives real applications for linear algebraic basic ideas and computational techniques, it is useful as a reference work for mathematicians and those in field of computer science.
https://www.amazon.com/Elementary-Linear-Algebra-Applications-9th/dp/0132296543
ISBN-13: 978-0132296540
ISBN-10: 0132296543