W. Keith Nicholson's "Linear Algebra with Applications, Fifth Canadian Edition" is written for first and second year students at both the college or university level. Its real world approach challenges students step-by-step, gradually bringing them to a higher level of understanding from abstract to more general concepts. Real world applications have been added to the new edition, Directed graphs; Google PageRank; Computer graphics; Correlation and Variance; and Finite Fields and Linear Codes.In addition to the new applications, the author offers several new exercises and examples throughout each chapter. Some new examples motivating matrix multiplication (Chapter 2) and a new way to expand a linearly independent set to a basis using an existing basis. While some instructors will use the text for one semester, ending at Chapter 5 The Vector Space Rn others will continue with more abstract concepts being introduced. Chapter 5 prepares students for the transition, acting as the "bridging" chapter, allowing challenging concepts like subspaces, spanning, independence and dimension to be assimilated first in the concrete context of Rn. This "bridging" concept eases students into the introduction of vector spaces in Chapter 6.
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?)