(Solution) - In Exercises let S be the collection of vectors That satisfies -(2025 Original AI-Free Solution)

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In Exercises, let S be the collection of vectors

That satisfies the given property. In each case, either proves that S forms a subspace of R2 or gives a counterexample to show that it does not.
a. x = 0
b. x ? 0, y ? 0
c. y = 2x