MATH 1ZC3 Lecture Notes - Lecture 20: Federal Bureau Of Investigation, Poultice, Scalar Multiplication
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Called addition and cataplasm then v is called a vectorspacey if thefollowing axioms arespecified yall are part ofthedefinition a if ti e f areinthevectorspace then i ti is inthevectorspace addition. I p ii a. k. a closureunderadditioneg leftr2k aesukotadditionalisstilla s ji. 2ms home that fit 0 tiforall ti inv inv. If ii is in v and kisa scalarthen k ti a k a clojureunderscalar multiplication is inv 2 122 122 resultof n nd properties additionare community. Comerdontmatter additionsa associate there"sanzero vectorwhich donepointatay thereisanotherrecto pointingatopposite direction regarding. 1 c why c scalar seater addvector geta newvectorinthesanespace. 6 describedbyncoodhole vector k nspace avectorspace are communicate gdp with a field of scalars e gcat12. 3123 k areallvectorspaces. I h c mmn callmxnmatrices d pn allpolynomialwhosedegree is lessthan orequalto n ixy inkd1 x o y o nu p fails ni. 8 notintheset nonegativevector fails eg a hotall k pisin v egnegatescalar 6 6 1 2 c6 a v fails isthata.