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Question: let v be a vector space over f and wv...

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Let V be a vector space over F and WV a subset of V. We call W a subspace of V if W is closed under vector addition and scalar multiplication. In particular, this means that W is a vector space itself, using the vector addition and scalar multiplication operations inherited from V (a) Let V = R3. Show that the set W-{(x, y, z) | z = 0} is a subspace of V.

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