`lambda` के सभी मनो के का समुच्य, जिनके लिए रेखिक समीकरण निकाय `2x_(1)-2x_(2)+x_(3)=lambdax_(1)`
`2x_(1)-3x_(2)+2x_(3)=lambdax_(2)`
`-x_(1)+2x_(2)=lambdax_(3)`
का एक अतुच्छ हल है

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 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

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 :

Evaluate: int_(-1)^(1)e^(-lambdax)(1-x^(2)) dx.

If f(x)=|(x,lambda),(2lambda,x)| , then f(lambdax)-f(x) is equal to

Let lambda in R , the system of linear equation 2x_1-4x_2+lambdax_3=1 x_1-6x_2+x_3=2 lambda x_1-10x_2+4x_3=3 is inconsistant. Find the value of lambda .