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For what values of k , the following s...

For what values of `k ,` the following system of equations possesses a nontrival solution over the set of rationals:`x+k y+3z=0,3x+k y-2z=0,2x+3y-4z=0.` Also find the solution for this value of `kdot`

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The correct Answer is:
`(33)/2`
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