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The only real value of λ for which the following equations have non-zero solution is,
x + 3y + 3z = λx
3x + y + 2z = λy
2x + 3y + z = λz
    Correct answer is '6'. Can you explain this answer?
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    The only real value ofλfor which the following equations have n...
    The given system is,
    For the given system of equations to have a non-zero solution, the coefficient matrix, say A, must be of rank less than 3. Thereby, det A must be zero i.e.,


    The roots of  are imaginary.
    Hence the only real value of λ  for which the system of equations will have a non-zero solution is 6.
    The correct answer is: 6
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    The only real value ofλfor which the following equations have non-zero solution is,x + 3y + 3z=λx3x + y + 2z=λy2x + 3y + z=λzCorrect answer is '6'. Can you explain this answer?
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