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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