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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` |
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