MATH136 Lecture Notes - Lecture 6: Cartesian Coordinate System, Linear Combination, International Sport Karate Association

• School: University of Waterloo
• Department: Mathematics
• Course: MATH136
• Professor: Robert Andre

Document Summary

Wednesday, may 3 lecture 2 : spans in n (refers to sections 1. 2) Concepts: span of a finite set of vectors, planes that contain the vector 0. Spanning family a linear combination of {v1, v2 ,, vk}. S = span m = span{v1, v2, , vk} S = { 1v1 + 2v2 + + kvk : i in } is defined as the set of all linear combinations of the vectors v1, v2, , vk. that is, This means every vector in s is a linear combination of vectors in {v1, v2 ,, vk}. Recall if {v1, v2, , vk} is a set of vectors in n, then 1v1 + 2v2 + + kvk is called. 2. 1 definition let m = {v1, v2 ,, vk} in n. If s = span{v1, v2 ,, vk} we say s is the span of {v1, v2 ,, vk} in n . Let s be a subset of n.