19 books
—
7 voters

Goodreads helps you keep track of books you want to read.

Start by marking “Linear Algebra Done Right” as Want to Read:

# Linear Algebra Done Right

by

This text for a second course in linear algebra is aimed at math majors and graduate students. The novel approach taken here banishes determinants to the end of the book and focuses on the central goal of linear algebra: understanding the structure of linear operators on vector spaces. The author has taken unusual care to motivate concepts and to simplify proofs. For examp
...more

## Get A Copy

Paperback, 251 pages

Published
February 26th 2004
by Springer
(first published November 29th 1995)

## Friend Reviews

To see what your friends thought of this book,
please sign up.

## Reader Q&A

To ask other readers questions about
Linear Algebra Done Right,
please sign up.

Popular Answered Questions

## Community Reviews

Showing 1-30

Start your review of Linear Algebra Done Right

"linear algebra! that's just y = mx + b!!! LOLZ".

Their education is the responsibility of us all, and how often we forget the old ways...

The proofs are clear but do require the reader to fill in some gaps. This is intended. Open to any page and witness the clarity that so oft ...more

Fortunately, the bastards are available online here:

https://linearalgebras.com

Quite accurate thus far, though I’ve only checked through section 2B. ...more

Mar 04, 2012
Erickson
rated it
it was amazing
·
review of another edition

Shelves:
mathematics,
algebra

[Second reading]

I read this the second time at the beginning of my physics PhD. It was much more pleasant to read. I am a slow learner, so even if the subject is for beginning undergraduates, a few concepts only make sense to me now. I can also appreciate a little better the whole thing about generalized eigenvectors, nilpotency, Jordan form, and various decomposition (in particular singular value and polar decomposition). I am sure I will forget them soon, considering that I don't use them ofte ...more

I read this the second time at the beginning of my physics PhD. It was much more pleasant to read. I am a slow learner, so even if the subject is for beginning undergraduates, a few concepts only make sense to me now. I can also appreciate a little better the whole thing about generalized eigenvectors, nilpotency, Jordan form, and various decomposition (in particular singular value and polar decomposition). I am sure I will forget them soon, considering that I don't use them ofte ...more

I enjoyed teaching out of this book this year, and expect to keep doing so for years to come.

The premise of the book is simple and outrageous at first sight. Let us teach linear algebra without the use of determinants. "Anathema!" I hear you all shout. "It is impossible" (I heard myself think). However, Sheldon Axler proved me wrong. And honestly, it makes things much more intuitive and easy.

Bu ...more

That being said, don't pick this up without also studying additional material. LADR is beautiful, but by no means comprehensive:

1) It lacks a lot of material, either in the topics presented, or additional topics (I would love to see the author's treatment of bilinear forms)

2) Nearly n ...more

If for some reason, you prefer the dete ...more

The book also is the only book that gives a satisfactory theoretical explanation/justification of determinants. (Hint: It's not pretty that's why it's eschewed.) ...more

**second**book on linear algebra - something you might want to read once you read a foundation text on linear algebra first. It is a

**full color book**which makes the book rather expensive. It's not a large book, but it's packed with just the right explanations and amount of theory to get you to understand the more mathematical aspects of linear algebra - the topics of spaces, linear maps and related theorems and concepts. The book is very accessible, has plenty of exercises (no solut ...more

Apr 04, 2008
Dave
added it

I really like this text. It's a nice complement to Halmos, which is curious as Halmos was Axler's advisor.
...more

May 21, 2015
Nabeel
added it

jhjhljkhjlkjkj.k

That said, the book is brilliant for its presentation. The order of topics, examples and results makes so many things just "fall out." For example, the proof Cauchy-Hamilton is pretty much "duh" and that of Jordan Canonical form is dead simple.

I ...more

From a purely aesthetic viewpoint there is something to be said for the approach, but in my experience teaching linear algebra 101 students don't have misgivings about using determinants. They just don't know enough yet to realized something might be amiss so why bother? ...more

this is because the book does not primarily deal with Euclidean vectors and matrices ...more

There are no discussion topics on this book yet.
Be the first to start one »

## Goodreads is hiring!

## News & Interviews

Juneteenth, observed on June 19th each year, is an American holiday commemorating the day in 1865 when the last enslaved people in Galveston,...

98 likes · 15 comments

No trivia or quizzes yet. Add some now »