Using properties of determinants prove that 3(a+b+c)(ab+bc+ca) | Miscellaneous Q 13 Determinants

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Using the properties of determinants,prove |3a,-a+b,-a+c||a-b,3b,c-b||a-c,b-c,3c|=3(a+b+c)(ab+bc+ca) Using the properties of determinants,prove |3a,-a+b,-a+c||a-b,3b,c-b||a-c,b-c,3c|=3(a+b+c)(ab+bc+ca)
Class 12 Maths By using properties of determinants R B Classes Class 12 Maths By using properties of determinants R B Classes
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`
15. Using properties of determinants, prove the following `|[a,b,c],[a-b,b-c,c-a],[b+c,c+a,a+b]... 15. Using properties of determinants, prove the following `|[a,b,c],[a-b,b-c,c-a],[b+c,c+a,a+b]...
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 ]|=(...
3. Using properties of determinants, show that :`|[b+c,a,b] , [c+a,c,a] , [a+b,b,c]| = (a + b +... 3. Using properties of determinants, show that :`|[b+c,a,b] , [c+a,c,a] , [a+b,b,c]| = (a + b +...
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Using properties of determinants prove that: \[ \left|\begin{array}{lll} b+c & a-b & a \\ c+a & ... Using properties of determinants prove that: \[ \left|\begin{array}{lll} b+c & a-b & a \\ c+a & ...