The existence of the unique solution of the system `x + y + z = lambda, 5x – y + mu z = 10, 2x + 3y - Z = 6` depends on

The existence of the unique solution of the system of equations: x+y+z=lambda5x-y+mu z=22x+3y-z=6 depends on mu only (b) lambda only lambda and mu both (d) neither lambda nor mu

Solve the system: x + y - 2z = 0, 2x - 3y + z = 0, 3x - 7y + 10z = 0, 6x - 9y + 10z = 0.

The system of the linear equations x + y – z = 6, x + 2y – 3z = 14 and 2x + 5y – lambdaz = 9 (lambda in R) has a unique solution if

Find the solution of homogeneous system of equations: x -2y +z =0; x + y = z and 3x + 6y = 5z

The values of lambda and mu such that the system of equations x + y + z = 6, 3x + 5y + 5z = 26, x + 2y + lambda z = mu has no solution, are :

Under what condition does the above system of equation have unique solution ? For the system of the linear equation 2x+3y+5z=9, 7x+3y-2z=8 and '2x+3y+ lamda z = mu

Investigate for what values of lambda, mu the simultaneous equations x + y + z = 6, x + 2 y + 3 z = 10 & x + 2 y + lambda z = mu have, A unique solution.

Investigate for what values of lambda, mu the simultaneous equations x + y + z = 6, x + 2 y + 3 z = 10 & x + 2 y + lambda z = mu have, An infinite number of solutions.

The system of linear equations lambda x + y + z = 3 x - y - 2z = 6 -x + y + z = mu has