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.

  • $\begingroup$ Have you checked out David Lay's Linear Algebra? $\endgroup$ – Don Larynx Sep 7 '13 at 16:36
  • $\begingroup$ @Jossie I have. The text follows relatively in the same approach as Lang's far as material wise. $\endgroup$ – user67527 Sep 7 '13 at 16:38
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    $\begingroup$ What specifically are you looking for? Are you looking to develop proof skills or to get more applications? And what books that are "advanced" have you looked at? $\endgroup$ – Ted Shifrin Sep 7 '13 at 16:44
  • $\begingroup$ @TedShifrin Bit of both would be nice but I would prefer a text that is more proof based. $\endgroup$ – user67527 Sep 7 '13 at 16:46
  • $\begingroup$ I second the recommendation of Insel, Spence, Friedberg, but to some students that's advanced. Hence my attempt to calibrate things with my question about what you consider advanced. $\endgroup$ – Ted Shifrin Sep 7 '13 at 16:51

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.]


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