Page 124 - 1300 Math Formulas
P. 124

CHAPTER 5.  MATRICES AND DETERMINANTS


                              539.  ^Çàçáåí=çÑ=j~íêáñ=
                                                        å
                                    fÑ=^=áë=~=ëèì~êÉ= å× ã~íêáñI=áíë=~ÇàçáåíI=ÇÉåçíÉÇ=Äó= ~Çà ^ I=
                                    áë=íÜÉ=íê~åëéçëÉ=çÑ=íÜÉ=ã~íêáñ=çÑ=ÅçÑ~Åíçêë=`=çÑ=^W=
                                                                               áà
                                    ~Çà     [ ^ =  áà ]`  q K==

                                    =
                              540.  qê~ÅÉ=çÑ=~=j~íêáñ=
                                    fÑ=^=áë=~=ëèì~êÉ= å× ã~íêáñI=áíë=íê~ÅÉI=ÇÉåçíÉÇ=Äó= íê  ^ I=áë=
                                                        å
                                    ÇÉÑáåÉÇ=íç=ÄÉ==íÜÉ=ëìã=çÑ==íÜÉ=íÉêãë=çå=íÜÉ=äÉ~ÇáåÖ=Çá~Öçå~äW=
                                    íê  ^ = ~ + ~ +K   + ~ K=
                                                OO
                                                          åå
                                            NN
                              =
                              541.  fåîÉêëÉ=çÑ=~=j~íêáñ=
                                    fÑ=^=áë=~=ëèì~êÉ=å× ã~íêáñ=ïáíÜ=~=åçåëáåÖìä~ê=ÇÉíÉêãáå~åí=
                                                       å
                                                            −
                                                             N
                                     ÇÉí ^I=íÜÉå=áíë=áåîÉêëÉ= ^ =áë=ÖáîÉå=Äó=
                                      −
                                    ^ =   ~Çà ^  K=
                                       N
                                          ÇÉí ^
                                    =
                              542.  fÑ=íÜÉ=ã~íêáñ=éêçÇìÅí=^_=áë=ÇÉÑáåÉÇI=íÜÉå==
                                    (   )^_  − N  =  _ − N ^ K=
                                                 −
                                                  N
                                    =
                              543.  fÑ==^==áë=~=ëèì~êÉ===å× ==ã~íêáñI==íÜÉ==ÉáÖÉåîÉÅíçêë==u===ë~íáëÑó=
                                                         å
                                    íÜÉ=Éèì~íáçå=
                                    ^u λ   u I==
                                        =
                                    ïÜáäÉ=íÜÉ=ÉáÖÉåî~äìÉë=λ =ë~íáëÑó=íÜÉ=ÅÜ~ê~ÅíÉêáëíáÅ=Éèì~íáçå=
                                     ^ λ  f =  MK===
                                       −
                                    =
                                    =
                                    =
                              5.5 Systems of Linear Equations


                                    =
                                    =
                                    s~êá~ÄäÉëW=ñI=óI=òI= ñI= ñ  I K=
                                                       N   O
                                    oÉ~ä=åìãÄÉêëW=~   ~ I  ~ I  Ä I  ~ I  ~ I  I K=
                                                    N   O  P  N  NN  NO





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