for which value `(s)` at `lambda,` denotes the pair of linear equations `lambdax+y=lambda^2 and x+lambday=1` have

For which value (s) of lambda , do the pair of linear equations lambdax + y = lambda^(2) and x + lambda y = 1 have (i) no solution ? (ii) infinitely many solutions ? (iii) a unique solution ?

For which value (s) of lambda , do the pair of linear equations lambdax + y = lambda^(2) and x + lambda y = 1 have (i) no solution ? (ii) infinitely many solutions ? (iii) a unique solution ?

For which value(s) of lambda do the pair of linear equations lambdax+y=lambda^(2)" and "x+lambday=1 have i] No solution? " " ii] Inifinitely many solutions? iii] A unique solution?

The system of linear equations lambdax+2y+2z=5 2lambda x+3y+5z=8 4x+lambday+6z=10 has :

The set of all values of lambda for which the systme of linear equations x-2y-2z = lambda x, x +2y +z = lambda y " and "-x-y = lambdaz has a non-trivial solution.

The number of real values of lambda for which the system of linear equations 2x+4y-lambda z=0,4x+lambda y+2z=0,lambda x+2y+2z=0 has infinitely many solutions,is: (A)0(B)1(C)2(D)3

Find the number of values of lambda for which the system of equations lambdax+y+z=1,x+lambday+z=lambda and x+y+lambdaz=lambda^2 has infinite number of solutions .

The set of all values of lambda for which the system of linear equations x - 2y - 2z = lambdax x + 2y + z = lambday -x -y = lambdaz has a non-trivial solution

The set of all values of lambda for which the system of linear equations x - 2y - 2z = lambdax x + 2y + z = lambday -x -y = lambdaz has a non-trivial solution

The set of all values of lambda for which the system of linear equations x - 2y - 2z = lambdax x + 2y + z = lambday -x -y = lambdaz has a non-trivial solution