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- University
- Politecnico di Milano
- Degree programme
- Management Engineering
- Subject
- Analisi Matematica 2
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- Exercises · By topic
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ExercisesBy topic
13 Matrici
Study material for Analisi Matematica 2, shared by the Studwiz community and reviewed by moderators.
Analisi Matematica 2By topic
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6103/2023 1)siconsiderinolematriciA= [=B= []Icaldare,arepossibili,3A,A+2B,3A-4B,ABABTS A3xe,B3x23.A f(xA)XERMisti= 1...n]j=1.. . . m · 3A= (43] = (3) . A+ 2B 41t =T=- 1]⊥2)IT)[t]10 . 3-4B= 6)E]Te t - costo(eI nonvalelaproprietàcommutativaperilfro·A.B= 4xmAsterBoxerIfABdottotramatrici4xppxm *:]] i II 40+1.1 410+1.1 4(-)+1)- 5)↓ p 70+1)17.10- 1.171)-1(-5)3x3 3.0+10.1 3.10+10.13H)+1015)=P= 141 - 9 Es 169- 2 1040- 53 M=2)siconsiderinolematriciexs[I5]-]wie,Caldareorepassi N8,M+N,MN,NM. NEN.N= P(AtMmxn(R):AemtixtN103)2x32x3 M+N= 5 M.N= Praxa I2x33XG T)eate.+.N= [1,"=8] gex3= Pasx3 2N.M= I8- ]T?] = =s[I4- 10 - 2- 16+2 (ingeneralel'elementoi,IdellamatriceMNialmutosvolgendoi froatorigaberdannadellerigei-esimediMperlacolonnaI I-esimedix;viceversorisfroditoN.Mèaiutosvolgendois frodatorigorburcannadellarigai-esimadiNfulacolon: noj-esimadiM) 3)LiaB= T6]preminaretuttele matrici AtMex21)checommuteroconB: A.B= BA A= []ac,de A.B= IEaIT]= [sa+dBA= T3][]IdaIa+6b=a+c atoba)T ateedei a=b+ d - + 6d=6aI[]a6fISc= 6b - 6a+1+60=0 - 6b+1=0 1- 10-1 1- 10 - 1 Este28]0 6- 10 ho I- 6018IEo0- 6 I b 06- 1 0S 0 6+ 0 2III1- 1o- 1-0- 16060 -I 0- 61 0 ·081- 10- 1 06- 10 - 0 II170 010 D 0 0I A 6b_t=0 b= t/6 Ea- 46- x= 0 a= 4/6+ x [aa)E
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