MATH 311 Lecture Notes - Lecture 3: Linear Combination, Electronvolt, Standard Basis

• School: University of Calgary
• Department: Mathematics
• Course: MATH 311
• Professor: Dr. Lauren Dideu

Document Summary

311 : week # 3: dr . 10:50am c ms 528 : this week. Lab. span e c 1. 273 is a line. Given a set of vectors how can. Span e 41. 273 = span e 41. 27 , , i , 07j ( xy - plane) We need a way to systematically remove redundancies. Def the t set of vectors taxi eq t , Ik is called has only linearly independent the trivial. Set is called linearly dependent : g . 10. 0 > the ee has a nontrivial solution t. 8 are ( note : he contrapositive is : S . is lin . ind . then oes . ) The statement pt q means p q and q p . ( so to prove both prove an if and only if statement you need to implications . ) @ span { e. to } where b. a line through it. J . } where bar a plane through the.