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VED1
E L-LOVELY-H math19-1 IInd 6-8-11 IIIrd 24-1-12 IVth 21-4-12 VIth 10-9-12

noEPk;soh dk rfDs

B'N (i) t:{j A d/ ;zxNeK a ij d/ ;fj^yzvk (co-factors) c ji d[nkok gqfs;Ekfgs eoe/ t:{j dk
gfotos (Transpose) pDk b?Ad/ jB. fJ; soQK pD/ gfotofss t:{j B{z A dk ;fjyzv
(Adjoint) efjzd/ jB sK fe

0
(ii) Adj. (A) B{z A d/ ;kofDe A Bkb Gkr fdzd/ jK. (i/eo A ≠ )

()
A
-1
Adj. jh A j[zdk j?.
A
1 2 3 


-1
T[dkjoD 1L i/eo A = 2 3 5 j'D sK A gsk eo'.


3 5 12  

−
jZb L ;kB{z gsk j? fe A = Adj.A
1
A
fdZs/ j'J/ t:{j dk gfotos (Transpose of Matrix) pDkT[D s/
 1 2 3 

A′ =   2 3 5

  3 5 12 
;fjyzv (Adjoint) gsk eoB d/ bJh t:{j A (a ij ) d/ ;fjyzv j/m nB[;ko eZYKr/^
 3 5 
−
=
;fjyzv 1 =+   = 36 25 11
 5 12 
 2 5 
−
;fjyzv 2 =−   = (24 15) =−
9
 3 12 
 2 3
;fjyzv 3 =+   = 10 9 1
−
=
 3 5 
 2 3 
;fjyzv 2 =−   = 24 15 =−
−
9
 5 12 
 1 3 
;fjyzv 3 =+   = 12 9 =
−
3
 3 12 
 1 2
;fjyzv 5 =−   =− − ( 1) =+
(5 6) =− −
1
 3 5 

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