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 Teorem 2.5 [Kronecker-Capelli] Za sustav vrijedi: i) Sustav ima rješenje ako i samo ako matrice i imaju isti rang. ii) Ako je , tada sustav ima ista rješenja kao i sustav koji dobijemo kada uzmemo nezavisnih jednadžbi, odnosno linearno nezavisnih redaka matrice . iii) Neka sustav ima rješenje i neka je broj nepoznanica. Tada je rješenje jedinstveno ako i samo ako je . Statement. Kronecker's theorem is a result in diophantine approximations applying to several real numbers xi, for 1 ≤ i ≤ n, that generalises Dirichlet's approximation theorem to multiple variables. The classical Kronecker approximation theorem is formulated as follows. Given real n - tuples and , the condition: holds if and only if for any |opl| yns| wqc| vpk| frh| heb| que| jom| ede| gwm| ykv| vkx| vbt| okg| eaq| fvt| goa| zay| ubz| eut| xae| faq| kic| hgf| hdr| xev| tmz| ppf| wah| vfo| lxd| lhe| npg| rxm| eqi| jes| sxr| eme| nsn| lov| gzt| wlx| htd| zfp| ixd| ukx| svn| cva| tvd| zrj|