1.

Write Minors and Cofactors of the elements of following determinants:(i) `|2-4 0 3|` (ii) `|a c b d|`

Answer» `Let A=|{:(2,-4),(0,3):}|` ltbrtgt Minors `M_(11)=3,M_(12)=0,M_(21)=-4,M_(22)=2`
Cofactors `A_(11)=(-1)^(1+1)M_(11)=3`
`A_(21)=(-1)^(2+1)M_(21)=4`
`A_(22)=(-1)^(2+2)M_(22)=2`
(ii) `Let A=|{:(a,c),(b,d):}|`
Minors `M_(11)=d,M_(12)=b,`
`M_(21)=c, M_(22)=a`
Cofactors `A_(11) =(-1)^(1+1)M_(11)=d`
`A_(12)=(-1)^(1+2)M_(21)=-c`
`A_(22)=(-1)^(2+2)M_(22)=a`


Discussion

No Comment Found