[vitorsr]

In my honest view this is a bad example. Axler is a professor of mathematics and editor of multiple undergraduate and graduate mathematics texts series. His supervisor’s supervisor was Paul Halmos.

His books are introductory in the context of mathematics courses. They are not introductory in applied mathematical sciences contexts.

There I would suggest, e.g., Boyd and Vandenberghe’s Introduction to Applied Linear Algebra [1], Meyer’s Matrix Analysis and Applied Linear Algebra [2], Golub and Van Loan’s Matrix Computations [3] etc.

> But the book doesn’t like determinants and isn’t focused on computing things around matrices [...].

This is purposeful.

[1] https://web.stanford.edu/~boyd/vmls

[2] http://matrixanalysis.com

[3] https://www.cs.cornell.edu/cv/cvl_home/books

[aesthesia]

Isn’t Golub and Van Loan more of a reference book? I think it would be pretty rough as an introduction to linear algebra.

[vitorsr]

You are right. It is. I admit that I was trying to think of an introduction to numerical linear algebra, but I was unable to recall any titles I would personally recommend. That is why I tried to put it towards the end of the listed examples, as a progression of sorts.

I don’t think I can edit my comment anymore, but I am more than happy to improve future suggestions if you have any recommendations.