[See Steps] Which of the following are subspaces of the indicated space. Explain your answer. a: The set of solutions in R^3 to the equation 3 x-y+2 z=1.
Question: Which of the following are subspaces of the indicated space. Explain your answer. a: The set of solutions in \(\mathbb{R}^{3}\) to the equation \(3 x-y+2 z=1\).
b: The set of vectors in \(\mathbb{R}^{4}\) orthogonal to \((1,2,3,-4)\).
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