
This book avoids the traditional definition-theorem-proof format; instead a fresh approach introduces a variety of problems and examples all in a clear and informal style. The in-depth focus on applications separates this book from others, and helps students to see how linear algebra can be applied to real-life situations. Some of the more contemporary topics of applied linear algebra are included here which are not normally found in undergraduate textbooks. Theoretical developments are always accompanied with detailed examples, and each section ends with a number of exercises from which students can gain further insight. Moreover, the inclusion of historical information provides personal insights into the mathematicians who developed this subject. The textbook contains numerous examples and exercises, historical notes, and comments on numerical performance and the possible pitfalls of algorithms. Solutions to all of the exercises are provided, as well as a CD-ROM containing a searchable copy of the textbook.
Almost every topic is illustrated with an application or illustrative example, and the applications are very interesting.
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.
For further reading, try Matrix Analysis and Applied Linear Algebra by Meyer.
Since this might get the right eyeballs here:
1. Does anyone have a good intuitive explanation for the meaning of the transpose operation? It seems to tie into a central symmetry between columns and rows (or equations and variables) that I'm having trouble articulating for myself
2. Why does every linear algebra book have a chapter on norms? It's always so incredibly boring and esoteric and I still haven't hit a situation where it's strictly necessary. The 2-norm seem adequate for most situations and comes out naturally from the least squares problem
PS: Strang is great. Meyer's "Matrix analysis and applied linear algebra" is even better (but more advanced)