The set of all values of `lambda` for which the system of linear equations
`2x_(1)-2x_(2)+x_(3)=lambdax_(1)`
`2x_(1)-3x_(2)+2x_(3)=lambdax_(2)`
`-x_(1)+2x_(2)=lambdax_(3)`
has a non-trivial solution,

The set of the all values of lamda for which the system of linear equations 2x_(1) - 2x_(2) + x_(3) = lamdax_(1) 2x_(1) - 3x_(2) + 2x_(3) = lamda x_(2) -x_(1) + 2x_(2) = lamda x_(3) has a non-trivial solution,

The set of all values of lamda for which the system of linear equations: 2x_1-2x_2+x_3=lamdax_1, 2x_1-3x_2+2x_3=lamdax_2, -x_1+2x_2=lamdax_3 has no trivial solution, (A) contains more than two elements (B) is in empty set (C) is a singleton (D) contains two elements

Consider the system of linear equations: x_(1) + 2x_(2) + x_(3) = 3 2x_(1) + 3x_(2) + x_(3) = 3 3x_(1) + 5x_(2) + 2x_(3) = 1 The system has

Consider the system of linear equations: x_(1) + 2x_(2) + x_(3) = 3 2x_(1) + 3x_(2) + x_(3) = 3 3x_(1) + 5x_(2) + 2x_(3) = 1 The system has

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

Using the matrix method, solve the following system of equations: x_(1)-2x_(2) + 3x_(3) =4, 2x_(1) + x_(2)-3x_(3) =5, -x_(1) + x_(2) + 2x_(3)=3

The least integral value of lambda for which the expression (lambdax^(2)-4x+3lambda+1) is positive for all x in R,is

The system of homogeneous equation lambdax+(lambda+1)y +(lambda-1)z=0, (lambda+1)x+lambday+(lambda+2)z=0, (lambda-1)x+(lambda+2)y + lambdaz=0 has non-trivial solution for :

The real value of k for which the system of equation 2k x-2y+3z=0, x+ky+2z=0, 2x+kz=0 has non-trivial solution is

Determine the values of lambda for which the following system of equations : lambdax+3y-z=1 , x+2y+z=2 , -lambdax+y+2z=-1 has non-trival solutions.