Q.5.Find the rank of the matrix
A=`[[1,1,1],[a,b,c],[a^3,b^3,c^3]]`
a,b,c being all real.

find the rank of [[1,1,1],[a,b,c],[a^3,b^3,c^3]]

" (b) Find the rank of the matrix : "A=[[2,1,4,7],[3,6,2,1],[0,0,1,5]]

(b) Find the rank of the matrix [[1,1,1,1],[1,3,-2,1],[2,0,-3,2],[3,3,-3,3]]

If the matrix A = [{:(y+a,b,c),(a,y+b,c),(a,b,y+c):}] has rank 3, then

1,1,1a,b,ca^(3),b^(3),c^(3)]|=(a-b)(b-c)(c-a)(a+b+c)

If the rank of the matrix A= [(1,2,3,0),(2,4,3,2),(3,2,1,3),(6,8,7,alpha)] is 3 then a= (A) -5 (B) 5 (C) 4 (D) 4

If a!=b!=c such that |[a^3-1,b^3-1,c^3-1] , [a,b,c] , [a^2,b^2,c^2]|=0 then

det[[1,x,x^(3)1,b,b^(3)1,c,c^(3)]]=0;b!=c