Home
Class 12
MATHS
The value of lambda, such that the follo...

The value of `lambda`, such that the following system of equations has no solution, is
x - 2y + z = - 4
2x - y - 2z = 2
x + y + `lambda`z = 4

A

3

B

1

C

0 (zero)

D

`-3`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Similar Questions

Explore conceptually related problems

The value of lambda for which the system of equations 2x-y-z=12,x-2y+z=-4,x+y+z=4 has no solution is

The value of lambda such that the system of equations x-2y+z=-4,2x-y+2z=2 and x+y+ lambda z=4, has no solution is

The values of lambda and mu such that the system of equations x + y + z = 6, 3x + 5y + 5z = 26, x + 2y + lambda z = mu has no solution, are :

Determine the values of lambda for which the following system of equations fail to have a unique solution: lambda x+3y-z=1,x+2y+z=2,-lambda x+y+2z=-1

Show that the following systems of linear equations has infinite number of solutions and solve 2x+y-2z=4,\ \ x-2y+z=-2,\ \ 5x-5y+z=-2

The system of linear equations lambda x + y + z = 3 x - y - 2z = 6 -x + y + z = mu has

Given,2x-y+2z=2,x-2y+z=-4,x+y+lambda z=4 ,then the value of lambda such that the given system of equations has no solution,is

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