Taking a traditional approach to the subject of Linear Algebra, with some introduction for students to R^n, the Fourth Edition of "Linear Algebra with Applications", newly acquired by McGraw-Hill, continues the tradition of accuracy and excellence associated with W. Keith Nicholson. Unlike the previous edition, however, the Fourth Edition introduces eigenvalues early on, in chapter 3, in a rigorous way using only matrix algebra and determinants. As well, Nicholson has added a new "bridging" chapter from Vector Geometry (Chapter 4) to the notion of an Abstract Vector Space (Chapter 6). In the traditional manner, "Nicholson 4/e" allows students to "hit the wall" with theory, but, with these new features, also provides students with the tools needed to overcome the wall.
Anyways, this textbook will probably help you learn Linear Algebra, if that’d something you wish to do! I think I’m just a bit dull when it comes to higher-level math, because the last couple of chapters of this text just didn’t make a lick of sense to me :-/ I don’t know if that’s due to a lack of smarts on my part, or a lack of helpful explanation on the author’s, so I’ll just say it probably makes sense to someone more math-minded than me.
Hmu if you need to calculate eigenvectors or find the basis for an orthogonal subspace though!
(Also, does anyone else feel this weird compulsion to finish a textbook if you’re assigned to read only 1/2-2/3 of it for your course? Or are you, yanno, sane?)