Let S be an affine subset of Rn, suppose is a linear
Chapter 8, Problem 19E(choose chapter or problem)
Let S be an affine subset of \(\mathbb{R}^n\), suppose \(f: \mathbb{R}^n \rightarrow \mathbb{R}^m\) is a linear transformation, and let f(S) denote the set of images \(\{f(\mathbf{x}): \mathbf{x} \in S\}\). Prove that f(S) is an affine subset of \(\mathbb{R}^m\).
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