Home
Class 12
MATHS
Find a in R for which the system of equ...

Find `a in R ` for which the system of equations 2ax-2y+3z=0 , x+ay + 2z=0 and 2x+az=0 also have a non-trivial solution.

Text Solution

Verified by Experts

The correct Answer is:
2
Promotional Banner

Topper's Solved these Questions

  • DETERMINANTS

    VK JAISWAL ENGLISH|Exercise EXERCISE-3:COMPREHENSION TYPE PROBLEMS|3 Videos

  • CONTINUITY, DIFFERENTIABILITY AND DIFFERENTIATION

    VK JAISWAL ENGLISH|Exercise EXERCISE (SUBJECTIVE TYPE PROBLEMS)|22 Videos

  • DIFFERENTIAL EQUATIONS

    VK JAISWAL ENGLISH|Exercise EXERCISE (SUBJECTIVE TYPE PROBLEMS)|6 Videos

Similar Questions

Explore conceptually related problems

The real value of k for which the system of equation 2k x-2y+3z=0, x+ky+2z=0, 2x+kz=0 has non-trivial 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

Solve the system of equations 2x+3y-3z=0 , 3x-3y+z=0 and 3x-2y-3z=0

If a !=b , then the system of equation ax + by + bz = 0 bx + ay + bz = 0 and bx + by + az = 0 will have a non-trivial solution, if

The value of k for which the set of equations 3x+ky-2z=0, x + ky + 3z = 0 and 2x+3y-4z=0 has non-trivial solution is (A) 15 (B) 16 (C) 31/2 (D) 33/2

The values of k in R for which the system of equations x+k y+3z=0,k x+2y+2z=0,2x+3y+4z=0 admits of nontrivial solution is 2 b. 5//2 c. 3 d. 5//4

The values of k in R for which the system of equations x+k y+3z=0,k x+2y+2z=0,2x+3y+4z=0 admits of nontrivial solution is a. 2 b. 5//2 c. 3 d. 5//4

Find the value of lambda for which the homogeneous system of equations: 2x+3y-2z=0 , 2x-y+3z=0 , 7x+lambday-z=0 has non-trivial solutions. Find the solution.

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

Find the value of lambda for which the homogeneous system of equations: 2x+3y-2z=0 2x-y+3z=0 7x+lambday-z=0 has non-trivial solutions. Find the solution.