Transcription of Linear Algebra, Theory And Applications
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Linear algebra , Theory And Applications Kenneth Kuttler September 12, 2017. 2. Contents 1 Preliminaries 11. Sets And Set Notation .. 11. Functions .. 12. The Number Line And algebra Of The Real Numbers .. 12. Ordered fields .. 14. The Complex Numbers .. 15. The Fundamental Theorem Of algebra .. 18. Exercises .. 20. Completeness of R .. 21. Well Ordering And Archimedean Property .. 22. Division .. 24. Systems Of Equations .. 28. Exercises .. 33. Fn .. 34. algebra in Fn .. 34. Exercises .. 35. The Inner Product In Fn.
The book has an introduction to various numerical methods used in linear algebra. This is done because of the interesting nature of these methods. The presentation here emphasizes the reasons why they work. It does not discuss many important numerical considerations necessary to use the methods ffely. These considerations are found in
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