Page 294 - DECO403_MATHEMATICS_FOR_ECONOMISTS_PUNJABI

VED1
E L-LOVELY-H math20-1 IInd 6-8-11 IIIrd 24-1-12 IVth 21-4-12 VIth 10-9-12

noEPk;soh dk rfDs

B'N fJZE/ T[b/y:'r j? fe jo/e ;wheoD ftZu ;kohnK nuo okPhnK (&) fuzBQ d/ ;Zi/ gk;/ fby b?Ad/
jB. fJ;B{z eq/wo d/ fB:w d/ nB[;ko j/m nB[;ko jZb ehsk ik ;edk j?^

T[go'es B{z n;hA fJ; o{g ftZu th fby ;ed/ jK^

fJ; soQK d' s'A tZX uoK d/ ;wheoDK B{z th jZb ehsk ik ;edk j?.
T[dkjoD 1H ;kofDe dk gq:'r eoe/ fBwB fbys ;wheoDK B{z jZb eo'.
3x + 4y = 5

3x – 4y = 2

jZb L r[DKeK dk ;kofDe j? ns/ nuoK dk ;szG j?, fJ; bJh

ns/

iK

fJ; soQK

Nk;e d' uoK tkbk fJZe :[rws ;wheoD fby'.

nkU, j[D fBwB fbys :[rws ;wheoDK d/ ;w[Zu T[Zs/ ftuko eohJ/^
a 11 x 1 + a 12 x 2 + a 13 x 3 = c 1
a 21 x 1 + a 22 x 2 + a 23 x 3 = c 2
a 31 x 1 + a 32 x 2 + a 33 x 3 = c 3
T[go'es ;wheoDK B{z eq/wo d/ fB:w (Cramer’s Rule) d/ nB[;ko t:{j d/ o{g ftZu j/m nB[;ko
fbfynk ik ;edk j?^
AX = z ....(i)
fJZE/, A & r[DKe a ij dk t:{j j?

288 LOVELY PROFESSIONAL UNIVERSITY