Question: Problem 1 (Examples of Linear Subspace). 1. Prove that {(2a + 3b, a) : a,b R} is a linear subspace of R?. 2. Given vectors

Problem 1 (Examples of Linear Subspace). 1. Prove that {(2a + 3b, a) : a,b R} is a linear subspace of R?. 2. Given vectors v,w R3. Prove that the linear span of v and w is a linear subspace of R?. Problem 2 (Non-example of Linear Subspace). Prove that any straight line not passing through the origin in R? is not a linear subspace of R

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