In the exercise below W is not a subspace of the vector space. Verify this by giving a specific example that violates the test for a vector subspace. W is the set of all vectors in R2 whose first component is 2.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.1: Vector Spaces And Subspaces
Problem 42EQ
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In the exercise below W is not a subspace of the vector space. Verify this by
giving a specific example that violates the test for a
vector subspace.

W is the set of all vectors in R2 whose first component
is 2.

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