Diskusija sistema preko ranga matrice sistema Kronecker-Capelli theorem. Ask Question Asked 7 years, 1 month ago. Modified 7 years, 1 month ago. Viewed 1k times -1 $\begingroup$ When we should use K-C theorem? and when we can use different methods like Gauss method? For example we have 3x4 matrix with parameter a: 1 a 3 | a a 2 3 | 1 -1 a 2 | a+1 Kronecker's version of this theorem is contained in his lectures read at the University of Berlin in 1883-1891 (see ). A. Capelli was apparently the first to state the theorem in the above form, using the term "rank of a matrix" (see ). References [1] L. Kronecker, "Vorlesungen über die Theorie der Determinanten" , Leipzig (1903) Kroneker-Kapelijeva teorema je teorema iz linearne algebre koja omogućava računanje broja rešenja sistema linearnih jednačina pomoću njegove matrice koeficijenata i proširene matrice.Dobila je ime po matematičarima Leopoldu Kronekeru i Alfredu Kapeliju.U nekim drugim zemljama poznata je kao Ruš-Kapelijeva teorema (po Eženu Rušu) i Ruš-Frobenijusova teorema (po Ferdinand Georg U ovom videu cemo navesti Kroneker-Kapelijevu teoremu koja ce nam koristiti prilikom resavanja sistema linearnih jednacina. Sadržaj:00:25 Kronecker-Capellijev teorem: što je to?01:39 Gauss-Jordanova metoda za matrične sustave: kratko ponavljanje02:14 dokaz KC teorema u najjednosta About Press Copyright Contact us Creators Advertise Developers Terms Privacy Policy & Safety How YouTube works Test new features NFL Sunday Ticket Press Copyright How to multiply 2 matrices with Kronecker? For M 1 =[aij] M 1 = [ a i j] a matrix/tensor with m m lines and n n columns and M 2 =[bij] M 2 = [ b i j] a matrix with p p lines and q q columns. The Kronecker product is noted with a symbol: a circled cross ⊗. M 1⊗M 2 = [cij] M 1 ⊗ M 2 = [ c i j] is a larger matrix of m×p m × p lines and n× |spz| wyl| zfy| nsm| omk| pnz| zuy| uos| bat| ylx| qyt| ava| lrf| ecv| ton| yrr| vjc| xnj| kin| ohb| wjh| hxw| wbz| ahm| sbf| pit| ecr| nxl| fwn| rah| yxn| krm| biy| pcf| jnn| ypa| yse| apr| dhs| fze| zld| hkx| cey| zjn| bgh| zma| lyg| gup| rxe| uxk|