Orthogonality is viewed as an optional, not a central, topic. Matrix factorizations (LU, QR, etc.) are not covered. He emphasizes concepts and theory much more than calculation, and linear transformations much more than matrices. The author does not focus on the four fundamental subspaces, a point of view popularized by Gilbert Strang in his books Linear Algebra and Its Applications and Introduction to Linear Algebra. Optional sections in Chapter Five give a more comprehensive treatment of Jordan canonical form than is found in most introductory texts, many of which omit this topic entirely. ![]() (It’s in a section unhelpfully entitled “The Linear Combination Lemma”). Uniqueness of reduced echelon form is proved in detail. This text does a good job of covering the theory in detail, especially in Chapters Two and Five. Reviewed by Daniel Drucker, Professor and Associate Chair, Wayne State University on 12/5/18 ![]() Journalism, Media Studies & Communications +.
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