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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                                      a 11  a 12  ...  a 1n
                                                             a 21  a 22  ...  a 2n
                                                              :
                                                             a m 1  a m 2  ...  a mn






                                    uksV~l  la[;k;ssa   -   -          vkO;wg osQ ?kVd ;k vo;o


                                           dgykrh gSaA
                                {kSfrt  F   I 
     vo;oksa ls iafDr  ( &  vkSj ÅèokZ/j  J         vo;oksa ls LrEHk
                                curs gSaA tSlsµ

                                      4  5   6
                                
 ,              ,d vk;rkdkj foU;kl gS ftlesa   iafDr;k¡ vkSj ! LrEHk gSa vkSj   9 ! ,   vo;oksa
                                      − 1  0  3 

                                dh la[;k;sa gSaA
                                         2 
                                        
                                blh izdkj  3 ,d vk;rkdkj foU;kl gS ftlesa ! iafDr;k¡ vkSj 1 LrEHk gS vkSj
                                        
                                         1 
                                        
                                izfof"V;k¡   
    
  dh la[;k;sa !  9   , ! gSaA

                                18-1 vkO;wg dk Øe ;k foek;sa           *    )


                                tSls vk;r  (    
     dh nks foek;sa yEckbZ vkSj pkSM+kbZ gksrh gSa mlh izdkj vkO;wg dh foek;sa iafDr;ksa dh
                                la[;k 9 LrEHkksa dh la[;k gksrh gSA ifjHkk"kk esa fn;s gq, vkO;wg dks 
-  -   vkfn ls laosQr djrs gSaA tSls
                                
                            bR;kfnA

                                18-2 vkO;wg dk laosQru  +      
      *    )


                                ;fn fdlh Hkh vkO;wg esa iafDr;ksa vkSj LrEHkksa dh la[;k,¡   vkSj   gksa] rks vk;rkdkj foU;kl esa oqQy   9

                                  vo;oksa dh la[;k gksxhA vkO;wg dh !  iafDr vkSj '  LrEHk esa vo;oksa dh fLFkfr    gks] rks vkO;wg dks

                                fuEu izdkj fy[kk tkrk gSµ
                                                     
        , 
 , .  /

                                tgk¡] ! ,  -  - !-     -   rFkk ' ,  -  - !-     -   gSA




                                 D;k vki tkurs gSa  ;gk¡ ;g mYys[kuh; gS fd vkO;wg la[;kvksa dk vk;rkdkj foU;kl (fo'ks"k lqxfBr
                                                 ,oa laf{kIr :i esa fy[ks gq,) ek=k gSaA budk dksbZ la[;kRed eku ugha gSA
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