If the trivial solution is the only solution of the

Question:

If the trivial solution is the only solution of the system of equations

$x-k y+z=0$

$k x+3 y-k z=0$

$3 x+y-z=0$

Then the set of all values of $k$ is:

  1. $\{2,-3\}$

  2. $\mathrm{R}-\{2,-3\}$

  3. $\mathrm{R}-\{2\}$

  4. $R-\{-3\}$


Correct Option: , 2

Solution:

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