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Math 22b Homework
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Unit 5: Change of Coordinates - people.math.harvard.edu
people.math.harvard.eduMATH 22B Unit 5: Change of Coordinates Lecture 5.1. Given a basis Bin a linear space X, we can write an element v in X in a unique way as a sum of basis elements. For example, if v = 3 4 is a vector in X = R2 and B= fv 1 = 1 1 ;v 2 = 1 6 g, then v = 2v 1 + v 2. We say that 2 B are the B coordinates of v. The standard coordinates are v = 3 4 are ...