Material Detail

Linear Algebra: A First Course presents an introduction to the fascinating subject of linear algebra. As the title suggests, this text is designed as a first course in linear algebra for students who have a reasonable understanding of basic algebra. Major topics of linear algebra are presented in detail, with proofs of important theorems provided. Connections to additional topics covered in advanced courses are introduced, in an effort to assist those students who are interested in continuing on in linear algebra. Each chapter begins with a list of desired outcomes which a student should be able to achieve upon completing the chapter. Throughout the text, examples and diagrams are given to reinforce ideas and provide guidance on how to approach various problems. Suggested exercises are given at the end of each section, and students are encouraged to work through a selection of these exercises.

A brief review of complex numbers is given, which can serve as an introduction to anyone unfamiliar with the topic.

Linear algebra is a wonderful and interesting subject, which should not be limited to a challenge of correct arithmetic. The use of a computer algebra system can be a great help in long and difficult computations. Some of the standard computations of linear algebra are easily done by the computer, including finding the reduced row-echelon form. While the use of a computer system is encouraged, it is not meant to be done without the student having an understanding of the computations.

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