Using properties of determinants. Prove that `|3a-a+b-a+c-b+a3b-b+c-c+a-c+b3c|=3(a+b+c)(a b+b c+...

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Using properties of determinants. Prove that `|3a-a+b-a+c-b+a3b-b+c-c+a-c+b3c|=3(a+b+c)(a b+b c+... Using properties of determinants. Prove that `|3a-a+b-a+c-b+a3b-b+c-c+a-c+b3c|=3(a+b+c)(a b+b c+...
determinant (3a -a+b -a+c , -b+a 3b -b+c , -c+a -c+b 3c) = 3(a+b+c)(ab+bc+ca) determinant (3a -a+b -a+c , -b+a 3b -b+c , -c+a -c+b 3c) = 3(a+b+c)(ab+bc+ca)
Using properties of determinants, prove that `|[3a,-a+b,-a+c],[-b+a,3b,-b |Class 12 MATH | Doubtnut Using properties of determinants, prove that `|[3a,-a+b,-a+c],[-b+a,3b,-b |Class 12 MATH | Doubtnut
XIIM&DQ059 _ Using properties of determinants, prove that |(a&b&c a-b&b-c&c-a b+c&c+a&a+b)| XIIM&DQ059 _ Using properties of determinants, prove that |(a&b&c a-b&b-c&c-a b+c&c+a&a+b)|
|{:( 3a, -a+b,-a+c),(a-b,3b, c-b),(a-c,b-c, 3c):}|=3(a+b+c)(ab+bc+ca) | 12 | DETERMINANT | MATH... |{:( 3a, -a+b,-a+c),(a-b,3b, c-b),(a-c,b-c, 3c):}|=3(a+b+c)(ab+bc+ca) | 12 | DETERMINANT | MATH...
Math 2.6.3: Properties matrix-matrix product, proof of associativity Math 2.6.3: Properties matrix-matrix product, proof of associativity
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 & ...
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 ]|=(...