Goggles on, we venture forth in search of Column Space, $C(\mathbf{A})$. We will uncover three ways to get there, and in this piece, we find a first way that is important for our understanding of how Column Space and $\mathbf{A}\vec{x}=\vec{b}$ work. The matrix Fezzik provides a suitably large example (it doesn't even exercise).
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