Determinants,|a^2 bc c^2+ac| |a^2+ab b^2 ca| |ab b^2+bc c^2|=4a62b^2c^2

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Prove: |(a^2,b c, a c+c^2),(a^2+a b,b^2,a c ),(a b,b^2+b c,c^2)|=4a^2b^2c^2 | 12 | DETERMINANTS ... Prove: |(a^2,b c, a c+c^2),(a^2+a b,b^2,a c ),(a b,b^2+b c,c^2)|=4a^2b^2c^2 | 12 | DETERMINANTS ...
prove that det(a^2 bc ac+c^2 , a^2+ab b^2 ac , ab b^2+bc c^2)=4(a^2b^2c^2) prove that det(a^2 bc ac+c^2 , a^2+ab b^2 ac , ab b^2+bc c^2)=4(a^2b^2c^2)
Show that `Delta=abs[[-a^2,ab,ac],[ba,-b^2,bc],[ac,bc,-c^2]]=4a^2b^2c^2` | Class 12 Maths | Doubtnut Show that `Delta=abs[[-a^2,ab,ac],[ba,-b^2,bc],[ac,bc,-c^2]]=4a^2b^2c^2` | Class 12 Maths | Doubtnut
Using the properties of determinants, prove that |a² bc ac+c²| |a²+ab b² ac| |ab b²+bc c²| Using the properties of determinants, prove that |a² bc ac+c²| |a²+ab b² ac| |ab b²+bc c²|
`|[a^2,bc,c^2+ca] , [a^2+ab,b^2,ca] , [ab,b^2+bc,c^2]|=4a^2b^2c^2` `|[a^2,bc,c^2+ca] , [a^2+ab,b^2,ca] , [ab,b^2+bc,c^2]|=4a^2b^2c^2`
Prove the identities: `|[a^2,a^2-(b-c)^2,b c], [b^2,b^2-(c-a)^2,c a],[ c^2,c^2-(a-b)^2,a b]|=(a-... Prove the identities: `|[a^2,a^2-(b-c)^2,b c], [b^2,b^2-(c-a)^2,c a],[ c^2,c^2-(a-b)^2,a b]|=(a-...
Prove that `|[a^2,bc,ac+c^2],[a^2+ab,b^2,ac],[ab,b^2+bc,c^2]|=4a^2b^2c^2`... Prove that `|[a^2,bc,ac+c^2],[a^2+ab,b^2,ac],[ab,b^2+bc,c^2]|=4a^2b^2c^2`...
without expanding prove that determinant (-a^2 ab ac ,ba -b^2 bc,ca cb -c^2=4a^2b^2c^2 without expanding prove that determinant (-a^2 ab ac ,ba -b^2 bc,ca cb -c^2=4a^2b^2c^2