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[" 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),-x_(1)+2x_(2)=lambda x_(3)],[" has a non-trivial solution "],[[" (1) contains two elements "," (2) contains more than two clements "],[" (3) is an empty set "," (4) is a singleton "],[" (4) is an empty set "]]

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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 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 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 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 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 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

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

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

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 :