Let `a ,b ,c` be positive and not all equal. Show that the value of the determinant `|a b c b c a c a b|` is negative.

Let a, b, c be positive and not all equal. Show that the value of the determinant |[a,b,c],[b,c,a],[c,a,b]| is negative

If a, b, c are positive and unequal, show that value of the determinant Delta=|(a,b,c),(b,c,a),(c,a,b)| is negative

Let ,b,c be positive real numbers and not all equal. The value of the determinant |(a,b,c),(b,c,a),(c,a,b)| is necessarily (A) zero (B) positive (C) negative (D) none of these

If a,b,c are positive and unequal,show that value of the determinant Delta=det[[b,b,cb,c,ac,a,b]]

Circulant: Let a; b; c be positive and not all equal.Then the value of determinant formed by a; b and c in their circular form is negative.

Without expanding the determinant, show that (a+b+c) is a factor of the determinant |a b c b c a c a b| .

Find the value of the determinant |{:(a^2,a b, a c),( a b,b^2,b c), (a c, b c,c^2):}|