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Find all values of lambda for which the ...

Find all values of `lambda` for which the `(lambda-1)x+(3lambda+1)y+2lambdaz=0(lambda-1)x+(4lambda-2)y+(lambda+3)z=0 2x+(3lambda+1)y+3(lambda-1)z=0` possess non-trivial solution and find the ratios `x:y:z,` where `lambda` has the smallest of these value.

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