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

fJekJh^20 L eq/wo d/ fB:w

a  11 a 12 a 12  B'N
A =   a 21 a 22 a 23  

33 
 a  31 a 32 a 
X = uoK dk ;szG ;fdP
x 
1
=  ns/ C = nuoK dk ;szG ;fdP
x

2
x 

3
z 
1
Z = 
z

2
z 

3
-1
;wheoD (i) B{z A Bkb gfjbK r[Db eoB s/
-1
-1
A AX = A Z
-1
-1
iK X = A Z [∴ AA =I]
1 
x  1 c  11 c 21 c 31  
z
  1   
iK x 2  = A  c 12 c 22 c 32  
z

2
z
3 
 x    c  13 c 23 c  

33 
3
fJZE/ C ij a ij d/ ;zrs ;fjyzv jB.
zc + z c + z c
fJ; soQK X = 1 11 2 21 3 31
A
fJ;h soQK, x 2 ns/ x 3 dk wkB eZfYnk ik ;edk j?.
T[dkjoD 2H t:{j d/ gq:'r d[nkok jZb eo'^
4x + 2y = 2 ....(i)
3x + 5y = 21 ....(ii)
jZb L T[go'es ;wheoDK B{z t:{j d/ o{g ftZu fbyD s/
AX = Z
 4 2 x 2  
fJZE/ A =   , X = ns/ Z =  
 3 5  y  21 
eq/wo d/ fB:w dk gq:'r eoB s/
-1
X = A Z
Adjoint A
= .Z
A
–1
A gsk eoB d/ bJh gfjbK ;kB{z fdZs/ j'J/ t:{j dk gfotos (Transpose) eoBk j't/rk^
 4 3
A′ =  
 2 5 
−
 5 2
Adjoint A =  
 − 3 4 

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