Home
Class 12
MATHS
The value of lambda for which the homoge...

The value of `lambda` for which the homogeneous system of equations possesses a non-trivial solution
x + `lambda ` y + 2 z = 0
`3x + 2 lambda `y + z = 0 is
2 x + 3y - 4z = 0

A

0

B

15

C

`(15)/(2)`

D

`-(15)/(2)`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • MATRICES AND DETERMINANTS

    MTG-WBJEE|Exercise WB JEE / WORKOUT (CATEGORY 2: SINGLE OPTION CORRECT TYPE)|15 Videos

  • MATRICES AND DETERMINANTS

    MTG-WBJEE|Exercise WB JEE / WORKOUT (CATEGORY 3: ONE OR MORE THAN ONE OPTION CORRECT TYPE)|15 Videos

  • LOGARITHMS

    MTG-WBJEE|Exercise WB JEE PREVIOUS YEARS QUESTIONS|10 Videos

  • MODEL TEST PAPER 1

    MTG-WBJEE|Exercise CATEGORY 3 : One or More than One Option Correct Type|10 Videos

Similar Questions

Explore conceptually related problems

The value of a for which the system of linear equations ax+y+z=0,ay+z=0,x+y+z=0 possesses non-trivial solution is

The value of for which the system of equations ax +y+z=0,x+ay+z=0,x+y+z=0 possess a non-null solution is

The values of k for which the system of equations kx+y+z=0,x-ky+z=0 and x+y+z=0 possesses non-trivial solution. Are

Values of k for which the system of equation x+ky+3z=0, kx+2y+2z=0 and 2x+3y+4z=0 possesses non-trivial solution

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

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

Find the real values of lambda for which the following system of linear equations has non- trivial solutions.Also,find the non-trivial solutions.2 lambda x-2y+3z=0x+lambda y+2z=02x+lambda z=0

Find the value of lambda for which the homogeneous system of equations: 2x+3y-2z=02x-y+3z=07x+lambda y-z=0 has non-trivial solutions. Find the solution.

The sum of distinct value of lambda for which the system of equations (lambda -1 )x + (3lambda + 1) y + 2 lambda x= 0 (lambda -1) x + (4lambda - 2) y + (lambda + 3) x= 0 2x + (2lambda + 1) y + 3(lambda - 1) z=0 has non - zeor solutions 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