Note Set 16d: How $\mathbf{A}=\mathbf{Q}\mathbf{R}$ helps us solve $\mathbf{A}\vec{x}=\vec{b}$

If we have the factorization $\mathbf{A}=\mathbf{Q}\mathbf{R}$ in a box, we can unpack $\mathbf{A}\vec{x}=\vec{b}$ in an enjoyable way. We explain how we're really solving the normal equation.
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