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Which of the following subsets of $\mathbb{R}^2$ is a subspace?

  1. $\left\{\begin{bmatrix}t\\t^2\end{bmatrix}:t\in\mathbb{R}\right\}$
     
  2. $\left\{\begin{bmatrix}t\\1\end{bmatrix}:t\in\mathbb{R}\right\}$
     
  3. $\left\{\begin{bmatrix}t\\s\end{bmatrix}:t\in\mathbb{R},s\geq 0\right\}$
     
  4. $\left\{\begin{bmatrix}t\\2t\end{bmatrix}:t\in\mathbb{R}\right\}$

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