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Lecture Slides 19 - AMS 210 Applied Linear Algebra AMS 210...

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AMS 210: Applied Linear Algebra November 19, 2009 AMS 210
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Topics Today Problem Set 10 Definitions: null space, range, vector space Range and Null Space Examples Theorems on Null Spaces More Examples Range Properties AMS 210
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Due to Thanksgiving, Problem Set 10 . . . . . . is not assigned this week. The next problem set will be due Thursday, December 3 (this is two weeks from today; all undergraduate classes are cancelled from Wednesday, November 25 through Sunday, November 29, which would include the next Thursday). There will be one more class before then, so I’ll assign the next problem set then, keeping the roughly two sections/problem set pace. Otherwise the next problem set would have three sections. Relatedly, there will be no class next Thursday (November 26). Which is Thanksgiving Day. That stated: section 5.1 portion will be 5ab, 6ab, 8, 11ab, 18ab, 21, 23c, for those who want to start earlier. AMS 210
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Definitions Null space (aka kernel): Null( A ) of a matrix A is the set of vectors x that are solutions to the system of equations Ax = 0. This is a vector space.
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