A First Course in Linear Algebra is written by two experts from
algebra who have more than 20 years of experience in algebra,
linear algebra and number theory. It prepares students with no
background in Linear Algebra. Students, after mastering the
materials in this textbook, can already understand any Linear
Algebra used in more advanced books and research papers in
Mathematics or in other scientific disciplines.This book provides a
solid foundation for the theory dealing with finite dimensional
vector spaces. It explains in details the relation between linear
transformations and matrices. One may thus use different viewpoints
to manipulate a matrix instead of a one-sided approach. Although
most of the examples are for real and complex matrices, a vector
space over a general field is briefly discussed. Several optional
sections are devoted to applications to demonstrate the power of
Linear Algebra.
General
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