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If [(1,1,1),(1,-2,-2),(1,3,1)][(x),(y),...

If `[(1,1,1),(1,-2,-2),(1,3,1)][(x),(y),(z)]=[(0),(3),(4)]`, then `[(x),(y),(z)]` is equal to

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if x ne 0 , y ne 0 ,z ne 0 " and " |{:(1+x,,1,,1),(1+y,,1+2y,,1),(1+z,,1+z,,1+3z):}|=0 then x^(-1) +y^(-1) +z^(-1) is equal to

if x ne 0 , y ne 0 ,z ne 0 " and " |{:(1+x,,1,,1),(1+y,,1+2y,,1),(1+z,,1+z,,1+3z):}|=0 then x^(-1) +y^(-1) +z^(-1) is equal to