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Recall that subspaces of a vector space are non-empty sets which are closed under any linear combination in the set. We also talked about what is a subspace in R n

. Each of the following examples is not a subspace of the vector space R 3
and understanding when a set fails to be a subspace helps you understand the definition. For each, give an example of a linear combination of vectors in the set that fails to be in the set (and hence it is not a subspace).
(a) The set of vectors ⎝


x
y
z




such that xyz=0.
(b) The set of vectors ⎝


x
y
z




such that x≤y≤z.

User Derby
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Sorry this is just for point but hope you get the answer
User Brent Sandstrom
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