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Check whether the following set S of all vectors in R3 given by [4M] S={(x,y,z)/y2x+3z=0;x,y,zR} is a subspace or not under the usual operations of

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Check whether the following set S of all vectors in R3 given by [4M] S={(x,y,z)/y2x+3z=0;x,y,zR} is a subspace or not under the usual operations of vector addition and scalar multiplication

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