Question: Problem 5. [4 marks] In the following two examples, let S be the collection of vectors x in R that satisfy the given property. In

 Problem 5. [4 marks] In the following two examples, let S

Problem 5. [4 marks] In the following two examples, let S be the collection of vectors x in R that satisfy the given property. In each case, either prove that S forms a subspace of R2 or give a counterexample to show that it does not. 1. y = 2x 2. xty = 1

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