Note Set 13a: The Known Unknowns of Left Nullspace

We venture into the last of the four lands behind $\mathbf{A}\vec{x} = \vec{b}$, the unbuildableness of Left Nullspace. Row vectors multiplying $\mathbf{A}$ from the left that give the zero row vector live here, and cannot be made by any combination of $\mathbf{A}$'s columns. Welcome to the deepening.
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