MATH136 Study Guide - Final Guide: Laplace Expansion, Additive Inverse, Bmw 8 Series

• School: University of Waterloo
• Department: Mathematics
• Course: MATH136
• Professor: All

Document Summary

Let x , y , z rn, s, t, r r. then. V2: (x + y + z ) = x + (y + z ) V3: (x + y ) = (y + x ) V4: 0 rn, such that x + 0 = x , for any x rn. V5: for each x rn there exists ( x ) rn such that x + ( x ) = 0 . Vk } be a set of vectors in rn, we define the span of the set by s = span {v1 ,. +tk vk | ti r} we say that set {v1 ,. Vk } in rn is said to be linearly independent if the only soln to. + ckvk = 0 is c1 = c2 = . + ckvk = 0 where some ci 0, then the set is called linearly dependent. A spanning set can be simplified if it is linearly dependent.