For all real values of `alpha` if the system of equations
`[(1,alpha,alpha^2),(alpha,1,alpha),(alpha^2,alpha,1)][(x),(y),(z)]`
has infinitely many solutions then the value of `1+alpha+alpha^2`

For a real number alpha, if the system [[1,alpha,alpha^2],[alpha,1,alpha],[alpha^2,alpha,1]][[x],[ y], [z]]=[[1],[-1],[1]] of linear equations, has infinitely many solutions, then 1+alpha+alpha^2=

For a real number, alpha if the system [{:(,1,alpha,alpha^(2)),(,alpha,1,alpha),(,alpha^(2),alpha,1):}] [{:(,x),(,y),(,z):}]=[{:(,1),(,-1),(,1):}] of linear equations has infinitely many solutions then 1+alpha+alpha^(2) =

For what value of alpha, the system of equations alpha x+3y=alpha-312x+alpha y=alpha will have no solution?

If tan alpha= sqrt2-1 then the value of tan alpha-cot alpha = ?

The system of equations alpha x-y-z=alpha-1 , x-alpha y-z=alpha-1,x-y-alpha z=alpha-1 has no solution if alpha

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 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