Linear Algebra Book satisfying those reqs

Question

Long before, I studied strang's linear algebra book with MIT video lectures. It was good and well designed course which I liked, but it is a bit prescriptive and I am having difficulties with LA.

I read books on computer graphics, vision, machine learning and will read books on convex optimization linear dynamical systems etc. which both apply and use theory of LA.

But I am having difficulties truly understanding these concepts with my LA level. So I need a book strong at theory and geometric intuition of LA. I know how can I find eigen vector but I am not sure what exactly it does, I don't exactly know what affine transform is, and never exposed to rigoruous definition of vector space all I know is orthogonal bases and projection, basis changing etc..

The books I plan to read are hoffman kunze and after that axler's LA done right.

Are these the books which I need or do you recommend ones which are good for above mentioned needs ?

I am currently reading baby rudin so I am mostly okey with proofs.

Does this answer your question? What is a good book to study linear algebra? — user1147844, Apr 09 '23 at 16:39

score 3 · Accepted Answer · edited Jan 29 '23 at 00:24

3

Does these work? You can see the TOC and sample pages on sites like Amazon to see if it meets your needs.

Linear Algebra Through Geometry (Undergraduate Texts in Mathematics) [Hardcover], Thomas Banchoff (Author), John Wermer (Author)
Linear and Geometric Algebra [Paperback], Alan Macdonald (Author)

You may also want to review this previous response: https://mathoverflow.net/questions/16994/linear-algebra-texts

Maybe you can go through this open course-ware series at MIT (there are other examples like this too): http://www.catonmat.net/blog/mit-linear-algebra-part-one/

Lastly, Linear Algebra Done Wrong: https://sites.google.com/a/brown.edu/sergei-treil-homepage/linear-algebra-done-wrong

Regards -A

edited Jan 29 '23 at 00:24

darij grinberg

17,777

answered Dec 04 '12 at 01:08

Amzoti

56,093

I did MIT stuff it is not what I look. I am loking for a LA out of matrix theory. I am good up to SVD but problem is why such a decomp work what the hell matrix is decomposed so ? from space ? why ? – camoka Dec 04 '12 at 01:16
Great resources! $\large + 1 \land \checkmark$ – amWhy May 17 '13 at 00:36

score 1 · Answer 2 · answered Dec 04 '12 at 04:25

1

This one is free online or you can give a donation First Course in Linear Algebra by Robert A. Beezer Department of Mathematics and Computer Science University of Puget Sound.

answered Dec 04 '12 at 04:25

Tim Monahan

577

score 0 · Answer 3 · answered Dec 04 '12 at 01:55

0

Try also Practical Linear Algebra: A Geometry Toolbox, which is concrete and has nice pictures.

answered Dec 04 '12 at 01:55

lhf

216,483

Linear Algebra Book satisfying those reqs

3 Answers3

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