MAT223H1 Lecture 3: Lecture 3 1.4-1.5
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If the last column is a pivotcolumnthesystem is inconsistent i find an . Def a linear combination off is a vector givenby. 9 a vector and is a linearcombinationofthe a"s. How much doyou need to work out to behealthy and only eat burgers and fries. I burgervector fryvector. Question what amount ofeach food1activitydoyou need t have a net calorie intake of ie find numbers mm xsnail. Avectoreqinndtx t. it (cid:1674)(cid:1675) hasthe same solhsetasthe linear systemwith augrented matrix 2 1 . This meansthat is a linear combination ofthe s ifandonly ifthesystem (cid:1675) is consist. 300 200 5 linear combinationsof is called the span of let t. Iffhs i set of all linear combinations of i i. e all vectorsofthe resale form ctforsomeconstant x cuff t. int . Bytheparallelogram ruleofvector addition any linearcomb lie in the tai at plane containing the parallelogram of it and i on. Def leta bean mxn matrix with columns . If is in n then the product a is defined.
