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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 ]
111