Document information
- University
- Politecnico di Milano
- Degree programme
- Energy Engineering
- Subject
- Analisi e geometria 2
- Classification
- Notes · By topic
- Original format
- Text
- Searchable text
← Back
NotesBy topic
03 Sistemi lineari
Study material for Analisi e geometria 2, shared by the Studwiz community and reviewed by moderators.
Analisi e geometria 2By topic
Document information
What's included in this study material
Study material for Analisi e geometria 2, shared by the Studwiz community and reviewed by moderators.
Import quality: text was extracted directly from the original document.
Extracted content from the document
Representative passages recognised in different parts of the material. The full extracted text remains available to search, while this compact preview makes the page easier to read.
Page 1
LEZIONE3-27-2-2023 PROPRIET A(prodetotramatrici)A,Be Cmetricie Re 1)ASSOCIA TIVA- AGM(m,m),BGM(m,p) c=M(p,9) (AB)c= A(BC)=m (m,q)2)DISTRIBUTIVAASINISTRA- A=M.(m,m) Bec =M(n,p) A(B+ c)= AB+ Ac= M(m,p)3)DISTRIBUTIVAADESTRA-A,B=M(m,n) (=m(n,b) (A+ B)c=Ac + BC =M(m,p) 4)OMOGENEIT À AEM(m,n)e Bc-M(n,p) 7(AB)=#B= ACB)EM(m,p) 5)PRODOTTOperMA TRICE NULLAAEM(m,n) A.0m,p = 0m.pl①p,ma= 0pm 6)]ELEMENTONeutro (dx. esin. ) MA TRICEIDENTIT Àdiordinem èI(oIn)def. In= diag{1,1,- - . - in}= ← - 10 - - - - 01 . . . . . =m(n)-.....!!-0---- 1= +A= m(m,n) AIn= A = ImA ⑮S.SimbolodiKroneckerdef.de Sii= {I i=j i,jENitj In= [i]:,j= 1,....,m Domanda:dataAth)(m)7It M,(n) taleche A=FA=In?IngeneraleNO- Vedremopiùavanti. AT T E N Z I O N E!/NonvalgonoANNULLAMENTO. e CANCELLAZIONE AB= 0m, ¥71-=0min✓B- Omp ES- ' µ- z - 2 2 0 0 - a 2 11 = 0 O AB=AC• BA=ca)#B- e trovare controesempia-È:]☐=L:?)ci:?) ⾨Prodottotra matriciNOCOMMUT A TIVO Nell'es- enotecaBAnon hasfusoperchénocol. diB= 2#3le righea_ Es. A= - 1-1 0 D= - 1 1 0 2-1 01 2✗3 1 2 3✗2 In9s. casohannosenso sia ABcheBA me A-BEN12)e BAEM(3)quindiAB=/BA Anchese7ABe BAe hannostessa. dim. (㱺A,Bc-M(n))ingenerale AB#BA
Preview
First page of the document.