Document information
- University
- Politecnico di Milano
- Degree programme
- Management Engineering
- Subject
- Analisi Matematica 2
- Classification
- Exercises · By topic
- Original format
- Text
- Searchable text
Study material for Analisi Matematica 2, shared by the Studwiz community and reviewed by moderators.
Study material for Analisi Matematica 2, shared by the Studwiz community and reviewed by moderators.
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13/03/2023 1)Stabilire,airequentiettoinsiemidiR3,rappresentano sottospazivettoriale: a)Fr= ((n,y,z)=R3:x= 0)CNSaffincheWCVsiaunattespaziovettorialediVechevalganoleagenticondizione:- i), Wite W i)WXeR,e xeW UngenericoelementodiFrlosceninellaforma.= [Et,NE i= [E]Tr=[E]ent,t +2-X []=[E)-, ew d'altraparteinexi= [][]t IèunsottospaziodiRE b)E= ((n,y,z)R:a+ y= x)x= - yUngenericoelementedi Tredatoda=[]=(att[8]t,1 a= -E]=FE]=T-EE] a)extitte=>us+Fa F - GE]= en= 0,+ Vz 11=xtx=[x]= [-]n= xw=xFa =>IèunsottospazòdiR3 inun'equazionelinearidellaformarautby+ct=0 rappresentaun panipassantepe(0,0,0)edeunsottospa_tiovettorialediR3. 3- {Y- Sc)Fz= ((x,y,z)-R3:x = y= z anelementodi Essara= [E]=[Itèunsottospaziodipesche+Na* = T]econlei;Do=Icande =>wiunarettapassanteaul'origine,definireun sottosportovettorialediR d)F4= ((x,y,z)-R:x = yvx= z]PresoanvettorediF.=I]eunvettorediFr 0= (5)i= [5]+ [3]= [e)EnonunsottospaziovettorialediR3 e)F5= ((x,y,z)-R.x= y+ 3)CNaffinchesiaunsottopaziodiRèche(P,0,0)EF5Ungenericoelementodi F5è= [t]= jetjut6] = []+]0+15]iBompaionoes f)Fg= F5u((0,0,0)EFo=[3]=[ta3]ett +- s R3I*E6Imanèunottapazòde ⑰g)Fg= ((n,y,z)c*:y=o⊥4(- y)(x+ y)=0 FF= ((My,z)tR3:ayvx=- y) =]=[5]EFeF +!=[8]*FF20 h)E= ((x,y,z)-R3:y= 2n,z= 3x)
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