Home
Class 12
MATHS
The system of equations ax + y + z = 0 ...

The system of equations ax + y + z = 0 , -x + ay + z = 0 and - x - y + az = 0 has a non-zero solution if the real value of 'a' is

Text Solution

Verified by Experts

The correct Answer is:
0
Promotional Banner

Topper's Solved these Questions

  • DETERMINANTS

    ML KHANNA|Exercise MISCELLANEOUS EXERCISE |1 Videos

  • DETERMINANTS

    ML KHANNA|Exercise Self Assessment Test |19 Videos

  • DETERMINANTS

    ML KHANNA|Exercise Problem Set (4) (TRUE AND FALSE)|3 Videos

  • DEFINITE INTEGRAL

    ML KHANNA|Exercise Miscellaneous Questions (Assertion/Reason)|1 Videos

  • DIFFERENTIAL EQUATIONS

    ML KHANNA|Exercise MISCELLANEOUS EXERCISE (Matching Entries) |2 Videos

Similar Questions

Explore conceptually related problems

If the system of equations x – ky – z = 0, kx – y – z=0, x + y – z = 0 has a non -zero solution then the possible values of k are

If the system of linear equations x + 2ay + az = 0 x + 3by + bz = 0 x + 4cy + cz = 0 has a non-zero solution, then a, b, c

If the system of linear equations x + y + 3z = 0 x + 3y + k^2 z = 0 3x + y + 3z = 0 has a non -zero solution (x, y, -z) for some k in R then x + (y/z) is equal to :

The system of equations lambdax+y+z=0,-x+lambday+z=0,-x-y+lambdaz=0 will have a non-zero solution if real values of lambda are given by

If the following system of linear equations 2x + y + z = 5 x - y +z = 3 x + y + az = b has no solution, then :

x+ky-z=0 , 3x-ky-z=0 and x-3y+z=0 has non-zero solution for k=

If the system of equations x-ky-z=0 , kx-y-z=0 , x+y-z=0 has a non-zero solution , then possible values of k are :