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Lecture notes Math 4377/6308 { Advanced Linear Algebra I

Lecture notesMath 4377/6308 Advanced Linear Algebra IVaughn ClimenhagaDecember 3, 20132 The primary text for this course is Linear Algebra and its Applications ,second edition, by Peter D. Lax (hereinafter referred to as[Lax]). Thelectures will follow the presentation in this book, and many of the homeworkexercises will be taken from may occasionally find it helpful to have access to other resourcesthat give a more expanded and detailed presentation of various topics thanis available in Lax s book or in the Lecture notes . To this end I suggest thefollowing list of external references, which are freely available online.(Bee) A First Course in Linear Algebra , by Robert A. Beezer, Universityof Puget Sound. Long and comprehensive (1027 pages). Starts fromthe very beginning: vectors and matrices as arrays of numbers, systemsof equations, row reduction. Organisation of book is a little non-standard: chapters and sections are given abbreviations instead (CDW) Linear Algebra , by David Cherney, Tom Denton, and AndrewWaldron, UC Davis.

Math 4377/6308 { Advanced Linear Algebra I Vaughn Climenhaga December 3, 2013. 2 The primary text for this course is \Linear Algebra and its Applications", second edition, by Peter D. Lax (hereinafter referred to as [Lax]). The lectures will follow the presentation in this book, and many of the homework

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