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VED1
E\L-LOVELY-H\math18-1 IInd 6-8-11 IIIrd 24-1-12 IVth 21-4-12 Vth 20-8-12 VIth 10-9-12 VIIth 11-5-13
vFkZ'kkfL=k;ksa dk xf.kr
uksV d 0 0 0
4 0 0 1
2 0 0 d 0 0
( ; B = 0 − 3 0 ; C = 2
0 3 0 0 1 0 0 d 3 0
0 0 0 d 4
la{ksi esa bls fod.kZ . - - - / ls n'kkZrs gSaA
% LosQyj vkO;wg - #
og fod.kZ vkO;wg] ftlosQ lHkh fod.kZ vo;o leku gksa] LosQyj vkO;wg dgykrk gSA mnkgj.kkFkZ]
2 0 0
, 0 2 0
0 0 2
, . / LosQyj gksxk ;fn , 4- tc ! ≠ '1 , tc ! , '
k 0 0
, 0 k 0
0 0 k
,. / - tgk¡ , 4 tc ! ≠ ') , % tc ! , ' rc LosQyj
vkO;wg gSA
% v/ksf=kdks.kh vkO;wg . " / , #
og oxZ vkO;wg] ftlosQ eq[; fod.kZ osQ Åij osQ vo;o 'kwU; gksa] v/ksf=kdks.kh vkO;wg 5 & K
= B dgrs gSaA mnkgj.kkFkZ]
3 0 0 1 0 0
, 1 4 0 1 , 2 3 0 - ;gk¡ , 41 tc ! 3 '
2 − 1 − 3− 1 4 5
VkLd rRled vkO;wg dk ,d mnkgj.k fy[ksaA
0 mifjf=kdks.kh vkO;wg *11 / , #
og oxZ vkO;wg ftlosQ iz/ku fod.kZ osQ lc vo;o 'kwU; gksa] vkO;wg dk mifjf=kdks.kh >> K
dgykrk gSA mnkgj.kkFkZ]
a 11 a 12 a 13 .... a 1n
0 a a .... a
1 2 3 21 23 2n
0 0 a 33 .... a 3n
, 0 7 − 1 1 , .... .... .... ....
0 0 5 .... .... .... ....
0 0 0 a mn
oxZ vkO;wg
(Øe 9 )_ tgk¡ vo;o , 4 tc ! 3 '
