Linear Algebra
eBook - ePub

Linear Algebra

What you Need to Know

Hugo J. Woerdeman

Share book
  1. 262 pages
  2. English
  3. ePUB (mobile friendly)
  4. Available on iOS & Android
eBook - ePub

Linear Algebra

What you Need to Know

Hugo J. Woerdeman

Book details
Book preview
Table of contents
Citations

About This Book

There is good reason to be excited about Linear Algebra. With the world becoming increasingly digital, Linear Algebra is gaining more and more importance. When we send texts, share video, do internet searches, there are Linear Algebra algorithms in the background that make it work.

This concise introduction to Linear Algebra is authored by a leading researcher presents a book that covers all the requisite material for a first course on the topic in a more practical way.

The book focuses on the development of the mathematical theory and presents many applications to assist instructors and students to master the material and apply it to their areas of interest, whether it be to further their studies in mathematics, science, engineering, statistics, economics, or other disciplines.

Linear Algebra has very appealing features:
•It is a solid axiomatic based mathematical theory that is accessible to a large variety of students.
•It has a multitude of applications from many different fields, ranging from traditional science and engineering applications to more 'daily life' applications.
•It easily allows for numerical experimentation through the use of a variety of readily available software (both commercial and open source).

Several suggestions of different software are made. While MATLAB is certainly still a favorite choice, open-source programs such as Sage (especially among algebraists) and the Python libraries are increasingly popular. This text guides the student to try out different programs by providing specific commands.

Frequently asked questions

How do I cancel my subscription?
Simply head over to the account section in settings and click on “Cancel Subscription” - it’s as simple as that. After you cancel, your membership will stay active for the remainder of the time you’ve paid for. Learn more here.
Can/how do I download books?
At the moment all of our mobile-responsive ePub books are available to download via the app. Most of our PDFs are also available to download and we're working on making the final remaining ones downloadable now. Learn more here.
What is the difference between the pricing plans?
Both plans give you full access to the library and all of Perlego’s features. The only differences are the price and subscription period: With the annual plan you’ll save around 30% compared to 12 months on the monthly plan.
What is Perlego?
We are an online textbook subscription service, where you can get access to an entire online library for less than the price of a single book per month. With over 1 million books across 1000+ topics, we’ve got you covered! Learn more here.
Do you support text-to-speech?
Look out for the read-aloud symbol on your next book to see if you can listen to it. The read-aloud tool reads text aloud for you, highlighting the text as it is being read. You can pause it, speed it up and slow it down. Learn more here.
Is Linear Algebra an online PDF/ePUB?
Yes, you can access Linear Algebra by Hugo J. Woerdeman in PDF and/or ePUB format, as well as other popular books in Mathematics & Algebra. We have over one million books available in our catalogue for you to explore.

Information

Year
2021
ISBN
9781000345896
Subtopic
Algebra
Edition
1

1

Matrices and Vectors

CONTENTS

In this chapter we will introduce matrices and vectors in the context of systems of linear equations. Let us start with a system of two linear equations with two unknowns, such as
2x+3y=4,4xy=6.
To solve this system, one would take a combination of the two equations and eliminate one of the variables. We can take the second equation and subtract two times the first, giving us
(4xy)2(2x+3y)=62·4 which simplifies to 7y=14,
yielding the equivalent system
2x+3y=4, 7y=14.
Now we can solve for y (giv...

Table of contents