*Elementary Linear Algebra*, by Keith Matthews, is an introduction to linear algebra, based on lectures given by the author over 17 years, in the (now defunct) first year course MP103 at the University of Queensland.

# Linear Algebra

## Elementary Linear Algebra

## Calculus and Linear Algebra. Vol. 2: Vector Spaces, Many-Variable Calculus, and Differential Equations

The complete text of *Calculus and Linear Algebra. Vol. 2: Vector Spaces, Many-Variable Calculus, and Differential Equations*, by Wilfred Kaplan and Donald J. Lewis, is freely available online from University of Michigan Library. It can also be downloaded in pdf format.

## Calculus and Linear Algebra. Vol. 1: Vectors in the Plane and One-Variable Calculus

The complete text of *Calculus and Linear Algebra. Vol. 1: Vectors in the Plane and One-Variable Calculus*, by Wilfred Kaplan and Donald J. Lewis, is freely available online from University of Michigan Library. It can also be downloaded in pdf format.

## Linear Algebra: Free PDF

*Linear Algebra*, by David Cherney, Tom Denton, and Andrew Waldron, is a free linear algebra textbook available in pdf format.

## Introduction to Matrix Algebra

This free book is written primarily for students who are at freshman level or do not take a full 3-credit hour course in Linear/Matrix Algebra, or are wanting a contemporary and applied approach to Matrix Algebra.

## Introduction to Vectors and Tensors, Vol. 1, Linear and Multilinear Algebra

Introduction to Vectors and Tensors, Vol. 1, Linear and Multilinear Algebra” by Ray M. Bowen and C.-C. Wang can be downloaded in pdf format. Geared toward engineering and science students rather than mathematicians, its less rigorous treatment focuses on physics and engineering applications. A practical reference for professionals, it is suitable for advanced undergraduate and graduate students.

## Linear Algebra, Infinite Dimensions, and Maple

Linear Algebra, Infinite Dimensions, and Maple can be downloaded free of charge in pdf format. These notes evolved in the process of teaching a beginning graduate course in Hilbert Spaces.

## Elements of Abstract and Linear Algebra

This is a foundational textbook on abstract algebra with emphasis on linear algebra. You may download parts of the book or the entire textbook. It is provided free online in pdf format. This book is a survey of abstract algebra with emphasis on linear algebra. It is intended for students in mathematics, computer science, and the physical sciences.

## Linear Algebra

This is a free algebra book. It covers an undergraduate first course, with a prerequisite of Calculus I. You can use it either as a main text, or as a supplement to another text, or for independent study. This book helps students to master the material of a standard US undergraduate linear algebra course.

## A First Course in Linear Algebra

A First Course in Linear Algebra is an introductory textbook designed for university sophomores and juniors. Typically such a student will have taken calculus, but this is not a prerequisite.