What is not a subspace of the vector space. Verify this by giving a specific example that violates the test for a vector subspace?

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Answer:

In the following

W is not a subspace of the vector space. Verify this by giving a specific example that violates the test for a vector subspace (Theorem 4.5).

W is the set of all vectors in

2

R

2

whose second component is the cube of the first