If `A=[(a,b,c),(b,c,a),(c,a,b)],abc=1,A^(T)A=l,` then find the value of `a^(3)+b^(3)+c^(3).`

If A=[(a,b,c),(b,c,a),(c,a,b)],abc=1,A^(T)A=I, then find the value of a^(3)+b^(3)+c^(3).

If A=[(a,b,c),(b,c,a),(c,a,b)],abc=1,A^(T)A=I, then find the value of a^(3)+b^(3)+c^(3).

When a=3,b=0, c=-2 find the value of : a^(3)+b^(3)+c^(3)-3abc

Given a matrix A=[[a,b,cb,c,ac,a,b]], where a,b,c are real positive numbers abc=1 and A^(T)A=I, then find the value of a^(3)+b^(3)+c^(3)

If a = b = c = 99999 , then find the value of (a^(3)+b^(3)+c^(3)-3abc)

Let a, b, c in R be all non-zero and satisfy a^(3)+b^(3)+c^(3)=2 . If the matrix A=((a,b,c),(b,c,a),(c,a,b)) satisfies A^(T)A=I , then a value of abc can be :

If a+b+c=6 and ab+bc+ca=11, find the value of a^(3)+b^(3)+c^(3)-3abc.

If A=[a b c b c a c a b],a b c=1,A^T A=I , then the value of a^3+b^3+c^3 can be 3 (2) 0 (3) 1 (4) 4