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08 Dimensione della base

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Analisi Matematica 2By topic

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20/03/2023 1)IR3verificareche,Un= ((x,y,z)tR:4x+5y+96= 0,2x+ 6y+7z= 03IcontenutoinU2= 4(x,y,z)tR3:2x-y+2t= 0} CaldareledimensionidiV,ediVe,unabanBdiu,edunavanBadecheconivellaidee re- completare,poi, 3 4x+ 5y+ 92= 0 A= 45⑨ 459 2x+ by+7z=0 iIE -at2]e267 ~ 2x- y+22=0 075 I459 II4 511- 23 2122 10 - 7- 5s &- 1- 5e(A)=2 seduzioni075 0 42+ 434↑↑ N y i459 II4x= 25/ft- 9t- fy= 5t y= - 5/qt0- 7- 5 z= t 00 1 4x= - 38/9ta= - 58t= - 14/4t E7·Untr([]}VICVdinUs= 1 Un= 4(19,10,- 14)t,teR]12:eR3:2x- y+ 2z=0 y=2x+2t *= T atar]nicaR= Jeteartic denia=2 Ba= ([2]:[2]}19 1910- 14 1910-14 - 19 - 28- 14~0+2+ 1 TitoIIIO 21 000 er- 19rg ivettoririgosonoancormentedibendentiteechei rangodellamatriceè2,quindiuna vas8= 4,IvettoridiBacono[],[2]einarmenteindigen- denti. e= [8]e= [8]=[9] i19 IBI=28F0Ok*= 18)- [[]]:[832)IRcionodatiisattapazi V2= Go= (x,2x,- 4x)a+ RY Va= (a= ()+ (5),e,te]FerificarecheUnCVa,caldareladimensionediUn ediUs,trovarequindiuna baseB,diUcontenutain unaborseBadiVs.Stabilisitvettorei -[i]appartieneadUI Us:T aledimU=1 Bi=7 1-4] (1- 45) Us:dik=2 Be= ([5];[5]} . setto·st-5Mi- 23 -ments ]anoarmentemagentee =>OkD,èunavandiUs[2]= at]+ e/s) I A= (3-2)(1=0

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