Home
Class 12
MATHS
The set of the all values of lamda for w...

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,

A

contains two elements

B

contains more than two elements

C

is an empty set

D

is a singleton

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • ALGEBRA

    CHHAYA PUBLICATION|Exercise JEE MAIN (AIEEE) ARCHIVE 2016|4 Videos
  • ALGEBRA

    CHHAYA PUBLICATION|Exercise JEE ADVANCED ARCHIVE 2013|2 Videos
  • ALGEBRA

    CHHAYA PUBLICATION|Exercise JEE MAIN (AIEEE) ARCHIVE 2014|2 Videos
  • ADJOINT AND INVERSE OF A MATRIX AND SOLUTION OF LINEAR SIMULTANEOUS EQUATIONS BY MATRIX METHOD

    CHHAYA PUBLICATION|Exercise ASSERTION-REASON TYPE|2 Videos
  • ARCHIVE

    CHHAYA PUBLICATION|Exercise JEE Advanced Archive|13 Videos

Similar Questions

Explore conceptually related problems

Consider the system of linear equations: x_(1) + 2x_(2) + x_(3) = 3 2x_(1) + 3x_(2) + x_(3) = 3 3x_(1) + 5x_(2) + 2x_(3) = 1 The system has

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

Solve by matrix inversion method the following system of equations. x_(1) + x_(2)-3 = 0 , x_(1) - 4x_(2) + 2 = 0

The system of linear equations x + y + z = 2 2x + 3y + 2z = 5 2x + 3y + (a^(2) - 1)z = a + 1

Find the number of solutions of equation (2x-3)2^x=1

Find the set of real value(s) of a for which the equation |2x+3|+|2x-3|=a x+6 has more than two solutions.

The value of k for which the system of equations x+ky-3z=0 , 3x+ky-2z=0, 2x+3y-4z=0 has a non -trivial solution is

The value of lamda for which the straight line (x -lamda)/(3) = (y -1)/(2 + lamda) = (z-3)/(-1) may lie on the plane x - 2y = 0 is

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

Find the set of values of x for which (tan 3x - tan 2x)/(1 + tan 3x cdot tan 2x) = 1