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?

For what value of alpha, the system of equations alphax+3y=alpha-3 12 x+alphay=alpha will have no solution?

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

An ordered pair (alpha, beta) for which the system of linear equations (1 + alpha) x beta y +z = 2 alphax + (1+beta)y+z = 3 alphax + beta y + 2z = 2 has a unique solution, is

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 number of real values of alpha for which the system of equations x + 3y + 5z = alpha x 5 x + y + 3z = alpha y 3 x + 5y + z = alpha z has infinite number of solutions is

An ordered pair (alpha,beta) for which the system of linear equations (1+alpha)x+beta y+z=2alpha x+(1+beta)y+z=3 and alpha x+beta y+2z=2 has unique solution is: (a) (2,4)(b)(-3,1)(c)(-4,2)(d)(1,-3)

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 solution , is "____"