Ch 8.1 - 16E
Chapter 8, Problem 16E(choose chapter or problem)
Let \(\mathbf{v} \in \mathbb{R}^{n}\) and let \(k \in \mathbb{R}\). Prove that \(S=\left\{\mathbf{x} \in \mathbb{R}^{n}: \mathbf{x} \cdot \mathbf{v}=k\right\}\) is an affine subset of \(\mathbb{R}^{n}\).
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