Example: confidence
Search results with tag "Math 22b"
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 ...
Math 22B, Homework #8 - UC Davis Mathematics
www.math.ucdavis.eduMath 22B, Homework #8 4 Plugging y p and its derivatives into the ODE we get u0 1 e t+ u0 2 = 2(1 t)e t (2) Putting (1) and (2) together we have et t et 1 u0 1 u0 2 = 0 2(1 tt)e Inverting gives u0 1 u0 2 = 2te 2t 2e t Thus, after integrating, we get