The system of equations `alphax+y + z =alpha -1, x+alphay+z=alpha-1` and `x+y+alpha z =alpha -1` has no solution, if `alpha` is :

The system of equations alphax+y+z=alpha-1, x+alphay+z=alpha-1 x+y+alphaz=alpha-1 and has no solution if alpha is

The system of equations alphax+y+z=alpha-1, x+alphay+z=alpha-1, x+y+alphaz=alpha-1 has no solution if alpha is (A) 1 (B) not -2 (C) either -2 or 1 (D) -2

The value of |alpha| for which the system of equation alphax+y+z=alpha-1 x+alphay+z=alpha-1 x+y+alphaz=alpha-1 has no solution , is "____"

The value of |alpha| for which the system of equation alphax+y+z=alpha-1 x+alphay+z=alpha-1 x+y+alphaz=alpha-1 has no solution , is "____"

The value of |alpha| for which the system of equation alphax+y+z=alpha-1 x+alphay+z=alpha-1 x+y+alphaz=alpha-1 has no solutions, is ________.

The system of equations alpha(x-1)+y+z=-1, x+alpha(y-1)+z=-1 and x+y+alpha(z-1)=-1 has no solution, if alpha is equal to

Consider the system of equations alphax+y+z = p, x+alphay+z=q and x+y+alphaz=r , then the sum of all possible distinct value(s) of alpha for which system does not possess a unique solution is

For what value(s) of alpha will the system of linear equations alphax + 3y = alpha - 3 and 12x + alpha y = alpha has a unique solution?

If a , b , c are non-zero, then the system of equations (alpha+a)x+alphay+alphaz=0,alphax+(alpha+b)y+alphaz=0,alphax+alphay+(alpha+c)z=0' has a non-trivial solution if alpha^(-1)= (A) -(a^(-1)+b^(-1)+c^(-1)) (B) a+b+c (C) alpha+a+b+c=1 (D) none of these

If a , b , c are non-zero, then the system of equations (alpha+a)x+alphay+alphaz=0, alphax+(alpha+b)y+alphaz=0, alphax+alphay+(alpha+c)z=0 has a non-trivial solution if