Page 171 - DECO403_MATHEMATICS_FOR_ECONOMISTS_PUNJABI
P. 171

VED1
          E L-LOVELY-H math10-1     IInd  21-10-11     IIIrd  24-1-12     IVth  21-4-12     Vth  20-8-12     VIth 10-9-12






                             fJekJh^10 L T[uso ns/ fBwBso L d' uo ns/ b/Aro/Ai r[De ;fjs gqshpzX T[uso ns/ fBwBso

                                                                                                  B'N



                                                                                                       HHHH(8)



                j[D T[gG'esk d/ ehws, nkwdB ns/ gqfs;EkgB gqGkt gsk eoB d/ bJh ;wheoD  dk g{oD
                nzdkIk brkT[D s/



                                                                                                       HHHH(9)
                fJ;  ;wheoD  B{z jZB eoB  d/ bJh  n;hA t:{j phirfDs d/ eq/wo fB:w (Cramer’s  Rule) dk
                T[g:'r eod/ jK. fJ; fB:w d/ nB[;ko i/eo AB = C fiZE/ A, B ns/ C t:{j j? T[d'A^

                                              -1
                                                       -1
                                                                  B = A C fiZE, A  =   adjA
                                                            A
                ;wheoD (9) B{z t:{j (Matrix) d/ o{g ftZu gqdofPs eoB s/
                                 −
                         f      f       p 1   dq 1   λ   dp 1  
                         11
                             12
                                      
                                             
                       
                         f      f       p−  2   dq 2    =λ dp 2                                  HHHH(10)
                                             
                       
                         21
                             22
                       −  p    p       0     d  λ     − dy+q dp +q dp  
                          1 
                                             
                              2
                                                         2
                                                            2
                                                   1
                                                      1
                eq/wo fB:w dk gq:'r eoB s/



                fJZE/,

                fJ; soQK



                ns/

                ;wheoD (11) ftZu d'B'A gk;/ dp 1  dk Gkt d/D s/ p 2  ns/ y B{z ;fEo wzBD s/ dy = 0 ns/ dp 2 =0
                                        q ∂  D λ    D
                                              1  =  11  +  q  31                                        HHHH(14)
                                        p ∂  D     1  D
                                         1
                       q ∂
                (fJZE,   1  & ehws gqGkt j? feT[Afe p 2  ns/ y d/ ;fEo ofjD s/ p 1  gfotosB d/ ekoB p 1  ftZu
                       p ∂
                        1
                gfotosB j'fJnk j?.)




                                           LOVELY PROFESSIONAL UNIVERSITY                                               165
   166   167   168   169   170   171   172   173   174   175   176