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Properties of vector spaces.

Which of the following are subspaces of the vector space ? Justify your answer.

A vector space in R^3 such that every vector (a,b,c) has the property: a-b-c=2

A vector space in R^3 which has the form (a,b,a+b)


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Solution Summary

Vector subspaces must adhere to strict criteria. The solution shows how to conclude that a certain vectors form a subspace.