Page 375 - DECO403_MATHEMATICS_FOR_ECONOMISTS_HINDI

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E\L-LOVELY-H\math26-1 IInd 21-10-11 IIIrd 24-1-12 IVth 21-4-12 Vth 20-8-12 VIth 10-9-12

bdkbZ cUn vFkZO;oLFkk % vkxr&fuxZr ekWMy

vkxr&fuxZr ekWMy % uksV

bldh rduhdh dks Li"V djus osQ fy, nks izdkj osQ lehdj.kksa dk iz;ksx fd;k tkrk gS rqyukRed
lehdj.k% ;g lehdj.k Li"V djrk gS fd fdlh m|ksx dk lEiw.kZ mRiknu ;k rks Lo;a osQ }kjk [kir dj fy;k
tkrk gS ;k nwljs m|ksxksa vFkok ckgjh {ks=kksa }kjk [kir dj fy;k tkrk gSA ekuk ckgjh {ks=k ls vfrfjDr m|ksxksa
dh la[;k gS rFkk m|ksx gSA ftldk oqQy mRiknu gSA rks fuEu rqyukRed lHkh gksxh_

/ 0 0 0 1 0 0 +

/ 0 0 0 10 0 +

∴ / 0 0 0 10 0 +

tgk¡ ⇒ ckgjh {ks=k dh ek¡x
2 lajpukRed lehdj.k% bl lehdj.k osQ fuekZ.k osQ fy;s rduhdh xq.kkad dk lgkjk fy;k tkrk gSA ekuk
,oa nks m|ksx gSa %
m|ksx 3 3 esa m|ksx 3 3 dk rduhdh xq.kkad
i
j
’’ ’’

/
’’i

X i j
vFkkZr~ / X j

/ 1

;gk¡ rduhdh xq.kkad gSA

mijksDr lehdj.k lajpukRed lehdj.k dgykrk gSA vc_ rqyukRed lehdj.k dks lajpukRed lehdj.k
esa ifjorZu djus ij]
/ 0 0 0 11 0 0

/ 0 0 0 11 0 0

111111111111111111
111111111111111111
/ 0 0 0 11 0 0

111111111111111111
111111111111111111
/ 0 0 0 11 0 0

lkjf.kd osQ :i esa fy[kus ij
 1  X  1  F
 1  X  11 a 12 a 13 … a 1 a n   
 X   a a a … a   X 2   F 2 
 2   21 22 23 2n   :   : 
 3 /  … … … …  …   +  
 X
     X   i F i 
 X i   a 1 i a 2 i a 3 i … a in   :   : 
  X n     a 1 a n 2 a n 3 … nn   n  a  X       F    
/
0 n n 1

;g vkxr&fuxZr ekWMy dk lkekU; lehdj.k gksrh gSA