Find the value of `lambda` for which the homogeneous system of equations: `2x+3y-2z=0` `2x-y+3z=...

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==== QUESTION TEXT ====

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.

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