Page 342 - DECO403_MATHEMATICS_FOR_ECONOMISTS_HINDI

VED1
E\L-LOVELY-H\math22-1 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 • in 3 in
5 ≤ in
• in
4 in A
fLFkjkad gSaB

D;k vki tkurs gSa Lora=k iafDr;ksa dh vf/dre la[;k dks vkO;wg dk in dgrs gSaA

mnkgj.k 1% uhps fn, vkO;wg dk in fudkfy;s
 12 1

4 23 1 
 
 11 2 
 12 1
gy% fn;k gS] 4   23 1
 
 11 2 
iafDr vkWijs'ku dk iz;ksx djus ij]

 12 1  2 1 1
  23 1 C →  −1 −1  0 →
− (1), R
3 (1)
R
− 2), R
  R 21 (1 − 31 ( 1)   0 −1 1   2
 11 2 
 12 1
3 (1/ 2)
  011 →
R
  R 12 − (2)
 002 
 − 10 1   1 0 0
 1  01 →   0 1 0
  R 23 − 13 (1)   ;gk¡ vkO;wg rhu xSj&'kwU; iafDr;k j[krk gSA
− (1), R
 00 1   0 0 1 
vFkkZr~ in 4 gksxkA

 12 1
mnkgj.k 2% ;fn 4 23 1   rks vkO;wg dk in fudkfy,A
 
 11 0 

 12 1
gy% fn;k gS 4 231  
 
 11 0 

 2 1 1 → R − R 2 R

C  −0 −1 1 2 2 1
  3 → R 3 − R R 1
 −0 −1 1 
 12 1 R →− R
C    01 1  2 → R 2 − R R
 000  3 3 2

;gk¡ ij

@D iafDr;k¡ 2 gSa vFkkZr~ in 4 gksxkA