I am looking for a Linear Algebra textbook that for those who just finished elementary Linear Algebra. I just finished Introductory to Linear Algebra by Strang and read to Least Squares and Orthogonality. I found a textbook that is advanced linear algebra but was wondering if anyone knows a text that is for those who should cover anything that is in between elementary and advanced level before jumping to advanced level.
The text "Linear Algebra" by Spence, Insel, & Friedberg fits nicely into the "intermediate" category. I've taught a couple of courses using this text as a follow up to the typical introduction to linear algebra.
You can get copies of old editions for less than $10.
It recovers all of the basic linear algebra topics, but with proof. It also has sections on topics like dual spaces. It has a couple of chapters covering canonical forms like rational form and Jordan form. Most importantly, overall its pretty easy to read.
[Note: Don't confuse this with the authors' "Elementary Linear Algebra" whose name says it all.]