Preface This is a textbook for a two-semester course on Linear Algebra. Although the pre-requisites for this book are a semester of multivariable calculus, in reality everything is …

This textbook is meant to be a mathematically complete and rigorous in-troduction to abstract linear algebra for undergraduates, possibly even first year students, specializing in mathematics.

This book begins with the central problem of linear algebra: solving linear equations. The most important ease, and the simplest, is when the number of unknowns equals the number of …

The notes are designed to be used in conjunction with a set of online homework exercises which help the students read the lecture notes and learn basic linear algebra skills.

a solution to the two equations. In linear algebra, we often are concerned with finding the solution(s) to a system of eq ations, if such solutions exist. First, we consider graphical …

Linear Algebra has application to the natural sciences, engineering, management, and the social sci- ences as well as mathematics. Consequently, 18 optional “applications” sections are …

Linear Algebra Problems in Lemma My friend Pavel Grinfeld at Drexel has sent me a collection of interesting problems --mostly elementary but each one with a small twist.

ThisbookhelpsstudentstomasterthematerialofastandardUSundergraduate firstcourseinLinearAlgebra. …

This book usually develops linear algebra simultaneously for real and complex vector spaces by letting denote either the real or the complex numbers. If you and your students prefer to think …

This book is an attempt to make the subject of linear algebra as understandable as possible, for a first time student of the subject. I developed the book from a set of notes used to supplement a …