Elements of Linear and Multilinear Algebra

This set of notes is an activity-oriented introduction to the study of linear and multilinear algebra.

**Tag(s):**
Linear Algebra

**Publication date**: 03 Jun 2014

**ISBN-10**:
n/a

**ISBN-13**:
n/a

**Paperback**:
152 pages

**Views**: 3,833

**Type**: Lecture Notes

**Publisher**:
n/a

**License**:
Creative Commons Attribution-ShareAlike 4.0 International

**Post time**: 21 Nov 2016 04:00:00

Elements of Linear and Multilinear Algebra

This set of notes is an activity-oriented introduction to the study of linear and multilinear algebra.

You are free to:

Share — copy and redistribute the material in any medium or format

Adapt — remix, transform, and build upon the material for any purpose, even commercially.

The licensor cannot revoke these freedoms as long as you follow the license terms.

Click**here** to read the full license.

Share — copy and redistribute the material in any medium or format

Adapt — remix, transform, and build upon the material for any purpose, even commercially.

The licensor cannot revoke these freedoms as long as you follow the license terms.

Click

From the Preface:

John M. Erdman wrote:This set of notes is an activity-oriented introduction to the study of linear and multilinear algebra. The great majority of the results in beginning linear and multilinear are straightforward and can be verified by the thoughtful student. Indeed, that is the main point of these notes— to convince the beginner that the subject is accessible. In the material that follows there are numerous indicators that suggest activity on the part of the reader: words such as "proposition", "example", "exercise", and "corollary", if not followed by a proof or a reference to a proof, are invitations to verify the assertions made. When the proof of a theorem appears to me to be too difficult for the average student to (re)invent and I have no improvements to offer to the standard proofs, I provide references to standard treatments. These notes were written for a 2-term course in linear/multilinear algebra for seniors and first year graduate students at Portland State University.

The prerequisites for working through this material are quite modest. Elementary properties of the real number system, the arithmetic of matrices, ability to solve systems of linear equations, and the ability to evaluate the determinant of a square matrix are assumed. A few examples and exercises depend on differentiation and/or integration of real valued functions, but no particular skill with either is required.

Tweet

About The Author(s)

Emeritus Associate Professor in the Fariborz Maseeh Department of Mathematics and Statistics at Portland State University. His areas of speciality are Functional Analysis and Operator Theory.

Book Categories

Computer Science
Introduction to Computer Science
Introduction to Computer Programming
Algorithms and Data Structures
Artificial Intelligence
Computer Vision
Machine Learning
Neural Networks
Game Development and Multimedia
Data Communication and Networks
Coding Theory
Computer Security
Information Security
Cryptography
Information Theory
Computer Organization and Architecture
Operating Systems
Image Processing
Parallel Computing
Concurrent Programming
Relational Database
Document-oriented Database
Data Mining
Big Data
Data Science
Digital Libraries
Compiler Design and Construction
Functional Programming
Logic Programming
Object Oriented Programming
Formal Methods
Software Engineering
Agile Software Development
Information Systems
Geographic Information System (GIS)

Mathematics
Mathematics
Algebra
Abstract Algebra
Linear Algebra
Number Theory
Numerical Methods
Precalculus
Calculus
Differential Equations
Category Theory
Proofs
Discrete Mathematics
Theory of Computation
Graph Theory
Real Analysis
Complex Analysis
Probability
Statistics
Game Theory
Queueing Theory
Operations Research
Computer Aided Mathematics

Supporting Fields
Web Design and Development
Mobile App Design and Development
System Administration
Cloud Computing
Electric Circuits
Embedded System
Signal Processing
Integration and Automation
Network Science
Project Management

Operating System
Programming/Scripting
Ada
Assembly
C / C++
Common Lisp
Forth
Java
JavaScript
Lua
Microsoft .NET
Rexx
Perl
PHP
Python
R
Rebol
Ruby
Scheme
Tcl/Tk

Miscellaneous
Sponsors