Using the properties of determinants show that `[[1,1,1],[a^2,b^2,c^2], | Class 12 Maths | Doubtnut

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By using properties of determinants, show that : `|[1,a,a^2],[1,b,b^2], |Class 12 MATH | Doubtnut By using properties of determinants, show that : `|[1,a,a^2],[1,b,b^2], |Class 12 MATH | Doubtnut
Class 12 Maths By using properties of determinants R B Classes Class 12 Maths By using properties of determinants R B Classes
By using properties of determinants. Show that: (i) `|a-b-c2a2a2bb-c-a2b2c2cc-a-b|=(a+b+c)^3` (i... By using properties of determinants. Show that: (i) `|a-b-c2a2a2bb-c-a2b2c2cc-a-b|=(a+b+c)^3` (i...
By using properties of determinants. Show that:|1+a^2-b^2 2a b-2b2a b1-a^2+b^2 2a2b-2a1-a^2-b^2|... By using properties of determinants. Show that:|1+a^2-b^2 2a b-2b2a b1-a^2+b^2 2a2b-2a1-a^2-b^2|...
Using properties of determinants, show that `|[1 , a , -bc] , [1 , b , -ca] , [1 , c , -a b]|=0` Using properties of determinants, show that `|[1 , a , -bc] , [1 , b , -ca] , [1 , c , -a b]|=0`
By using properties of determinants, show that: (i) |[ 1 a a^2; 1 b b^2; 1 c c^2 ]|=(... By using properties of determinants, show that: (i) |[ 1 a a^2; 1 b b^2; 1 c c^2 ]|=(...
determinant ( a^2+1 ab ac , ab b^2+1 bc , ca cb c^2+1)=1+a^2+b^2+c^2 determinant ( a^2+1 ab ac , ab b^2+1 bc , ca cb c^2+1)=1+a^2+b^2+c^2
Show that ` |[1,a,a^2],[1,b,b^2],[1,c,c^2]|=(a-b)(b-c)(c-a) ` Show that ` |[1,a,a^2],[1,b,b^2],[1,c,c^2]|=(a-b)(b-c)(c-a) `