If the value of the determinant `|a1 1 1b1 1 1c|` is positive then `(a ,b ,c >0)` `a b c >1` b. `a b c<-8` c.`a b c<-8` d. `a b c >-2`

Write the value of the determinant |a1b+c b1c+a c1a+b| .

if the value of the determinant |{:(a,,1,,1),(1,,b,,1),(1,,1,,c):}| is positivie then (a,b,c lt 0)

What is the value of the determinant |(1,bc,a(b+c)),(1,ca,b(c+a)),(1,ab,c(a+b))| ?

" 0.The value of the determinant "|[1,x,x^(2)],[1,b,b^(2)],[1,c,c^(2)]|" is: "

The value of the determinant |{:(1,a, a^(2)-bc),(1, b, b^(2)-ca),(1, c, c^(2)-ab):}| is…..

Prove that |1+a1 1 1 1 1+b1 1 1 1 1+c1 1 1 1 1+d|=a b c d(a+1/a+1/b+1/c+1/d)dot Hence find the value of the determinant if a ,b ,c , d are the roots of the equation p x^4+q x^3+r x^2+s x+t=0.

The value of the determinant |(1,a,a^2-bc),(1,b,b^2-ca),(1,c,c^2-ab)| is (A) (a+b+c),(a^2+b^2+c^2) (B) a^3+b^3+c^3-3abc (C) (a-b)(b-c)(c-a) (D) 0

If A_1, B_1, C_1,... are respectively the co-factors of the elements a_1,b_1, c_1,... of the determinant Delta=|[a_1, b_1,c_1] , [a_2, b_2, c_2] , [a_3, b_3,c_3]| then |[B_2,C_2] , [B_3,C_3]|=

If 1/(b-a) +1/(b-c)=1/a+1/c , then a,b and c are in

Let a_i^2+b_i^2+c_i^2=1 (for i=1,2,3) and a_ia_j+b_ib_j+c_ic_j=0 (i != j;i,j=1,2,3). Then the absolute value of determinant |(a_1,a_2,a_3),(b_1,b_2,b_3),(c_1,c_2,c_3)| (A) 1/2 (B) 0 (C) 1 (D) 2