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GKwU eM© g¨vwUª·‡K Zvi wb‡Ri mv‡_B ¸Y Kiv hvq (‡h‡nZz Gi mgvb msL¨K mvwi I Kjvg Av‡Q)| d Ges
                                                                                        2
                                                                                                           3
               D e¨envi K‡i eM© g¨vwUª‡·i h_vµ‡g eM© Ges Nb †ei Kiv hvq| wb‡P    ×    =    I    ×    ×    =   
               †ei K‡i †`Lv‡bv n‡jv-









               jÿYxq †h ^ evUb e¨envi Kiv hv‡e bv| eM© g¨vwUª‡·i Av‡iv D”P Nv‡Zi djvdj †ei Ki‡Z wØNvZ Ges wÎNv‡Zi
                                              5
               mgš^‡q Ki‡Z n‡e| D`vniY¯^iƒc,     †ei K‡i †`Lv‡bv n‡jv-










               10.2 wecixZ g¨vwUª·


               g¨vwUª‡·i fvM, msL¨vi fv‡Mi g‡Zv mivmwi wbY©q Kiv hvq bv| Gi cwie‡Z©, wecixZ g¨vwUª· e¨envi Kiv n‡q _v‡K|
               ïaygvÎ  eM©  g¨vwUª‡·i  Rb¨  wecixZ  g¨vwUª·  †ei  Kiv  m¤¢e|  msL¨vi  fv‡Mi  g‡Zv  G‡K  wPšÍv  Kiv  hvq|
                                                             −1
                                                                                         −1
                                     −1
               †hgb- 7 ÷ 8 = 7 × 8 . 8 Gi wecixZ msL¨v‡K 8  Øviv Dc¯’vcb Kiv n‡q‡Q| 8  †K 8 Øviv ¸Y Ki‡j
               1 cvIqv hvq, hv GB ¸Y‡Yi identity (A‡f`)-
                                                       8 × 8 −1  = 1

                                                                                      −1
               GKBfv‡e,    g¨vwUª‡·i wecixZ g¨vwUª·     Gi Abyiƒc ˆewkó¨ i‡q‡Q|    Ges     Gi ¸Y‡b †h identity
                                                   −1
               g¨vwUª· cvIqv hvq hvi g~L¨ K‡Y©i Dcv`vb¸‡jv 1 Ges evwK Dcv`vb¸‡jv 0.
                                                            1 0 0
                                                      −1  = [0 1 0] =   
                                                            0 0 1

               u Kx e¨envi K‡i wecixZ g¨vwUª· cvIqv hvq hv wb‡P †`Lv‡bv n‡q‡Q-









                 −1
                   Gi †h Dcv`v‡b Kvm©i Avbv n‡e, K¨vjKz‡jUi †mwU‡K fMœvsk AvKv‡i cÖ`k©b Ki‡e-
                                                            5          1
                                                                 0 −
                                                             6         6
                                                     −1  =     1  1  − 1
                                                            3    4     6
                                                            3          1
                                                          [ − 2  0       2 ]



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