[" The set of all values of "lambda" for which the "],[" system of linear equations: "],[2x_(1)-2x_(2)+x_(3)=lambda_(e)c_(1)],[2x_(1)-3x_(2)+2x_(3)=lambda_(d)x_(2)],[-x_(1)+2x_(2)=lambda_(d)x_(3)],[" has a non-trivial solution,"]

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

The set of all values of lambda for which the system of linear equation |(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 all values of lambda for which the system of linear equations: 2x_(1)-2x_(2)+x_(3)=lambda x_(1)2x_(1)-3x_(2)+2x_(3)=lambda x_(2) has a non-trivial solution,(1) is an empty set (2) is a singleton ( 3) contains two elements (4) contains more than two elements

Let lambda in R . The system of linear equations 2x_(1) - 4x_(2) + lambda x_(3) = 1 x_(1) -6x_(2) + x_(3) = 2 lambda x_(1) - 10x_(2) + 4 x_(3) = 3 is inconsistent for :

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

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 systme of linear equations x-2y-2z = lambda x, x +2y +z = lambda y " and "-x-y = lambdaz has a non-trivial solution.