Value of `'alpha'` for which system of equations `x+y+z=1,x+2y+4z=alpha` and `x+4y+10 z=alpha^2` is consistent, are

The system of equations x+2y-4z=3,2x-3y+2z=5 and x -12y +16z =1 has

For the system of equations: x+2y+3z=1 2x+y+3z=2 5x+5y+9z=4

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 sum of values of p for which the equations x+y+z=1, x+2y +4z=p and x+4y +10z = p^(2) have a solution is "____"

A solution set of the equations x+2y+z=1 , x+3y+4z=k , x+5y+10z=k^(2) is

Find lambda for which the system of equations x+y-2z=0,2x-3y+z=0,x-5y+4z=lambda is consistent and find the solutions for all such values of lambdadot

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 equation 3x + 4y + 5z = mu x + 2y + 3z = 1 4x + 4y + 4z = delta is inconsistent, then ( delta,mu ) can be