1)Let V= R3. Show that W is a subspace of V where W = {(a, b, 0): a, b ϵ R}, i.e. W is the xy plane consisting of those vectors whose third component is 0.
2)Let V= R3. Show that W is not a subspace of V where W = {(a, b, c): a, b, c ϵ Q}, i.e. W consists of those vectors whose components are rational numbers.
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