Let \(A\) be an \(m\times n\) matrix and let \(W=\left\{\ove…
Let \(A\) be an \(m\times n\) matrix and let \(W=\left\{\overrightarrow{x}\in\mathbb{R}^{n}: A\overrightarrow{x}=\overrightarrow{0}\right\}\). (That is, \(W=\text{null}\left(A\right)\).) Prove that \(W\) is a subspace of \(\mathbb{R}^{n}\).
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