Delta =|(1+a^2+a^4,1+ab+a^2b^2, 1+ac+a^2...

`Delta =|(1+a^2+a^4,1+ab+a^2b^2, 1+ac+a^2c^2), (1+ab+a^2b^2, 1+b^2+b^4, 1+bc+b^2c^2),(1+ac+a^2c^2, 1+bc+b^2c^2, 1+c^2c^4)|` is equal to

`(a-b)^(2)(b-c)^(2)(c-a)^(2)`

`2(a-b)(b-c)(c-a)`

`4(a-b)(b-c)(c-a)`

`(a+b+c)^(3)`

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Delta=|{:(1+a^2+a^4,1+ab+a^2b^2,1+ac+a^2c^2),(1+ab+a^2b^2,1+b^2+b^4,1+bc+b^2c^2),(1+ac+a^2c^2,1+bc+b^2c^2,1+c^2+c^4):}| is equal to

Delta=|[1+a^(2)+a^(4),1+ab+a^(2)b^(2),1+ac+a^(2)c^(2)1+ab+a^(2)b^(2),1+b^(2)+b^(4),1+bc+b^(2)c^(2)1+ac+a^(2)c^(2),1+bc+b^(2)c^(2),1+c^(2)c^(4) is equal to

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If a, b and c are distinct positive real numbers such that Delta_(1) = |(a,b,c),(b,c,a),(c,a,b)| and Delta_(2) = |(bc - a^2, ac -b^2, ab - c^2),(ac - b^2, ab - c^2, bc -a^2),(ab -c^2, bc - a^2, ac - b^2)| , then

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RESONANCE-MATRICES & DETERMINANT-EXERCISE-2

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