Question: For the remaining three problems, you are to determine of if the given statement is true or false…
Show transcribed image text For the remaining three problems, you are to determine of if the given statement is true or false, and provide a short justification for your answer (for example, an argument showing it is true, or a counter example if it is false) Problem 5 If S is a basis for a vector space V, and each entry of the coordinate vector sv is 0, then the vector v is the zero vector of V. Proble n 6 If W is a subspace of Rn, and v, w є Rn are vectors with v + w є W, then v є W, w e l. Problem! If W is subspace of Rn and V = {v є R', l v ¢ W), then V is also a subspace of Rn.
For the remaining three problems, you are to determine of if the given statement is true or false, and provide a short justification for your answer (for example, an argument showing it is true, or a counter example if it is false) Problem 5 If S is a basis for a vector space V, and each entry of the coordinate vector sv is 0, then the vector v is the zero vector of V. Proble n 6 If W is a subspace of Rn, and v, w є Rn are vectors with v + w є W, then v є W, w e l. Problem! If W is subspace of Rn and V = {v є R', l v ¢ W), then V is also a subspace of Rn.
