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Vector Spaces and Subspaces, Addition and Scalar Multiplication

Please view the attached files to see the expressions which are in question for parts A and B.
1. A) Determine whether the following sets are vector spaces, in each case giving reasons for your answer.
B) Determine whether W is a subspace of the given vector space V.


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In this solution, the concepts of vector spaces and sub spaces, addition and scalar multiplication are investigated. The solution is detailed and well presented in both a pdf. file and a Word document.