$$AX = B$$
where $A$, $X$, $B$ are general matrices with compatible dimensions. Does
$$\hat{X} := A^+ B$$
minimize $\| AX - B \|_2$ or $\| AX-B \|_F$? Or both?
2026-03-25 16:09:13.1774454953
Which norm does pseudo-inverse for least square for matrix equation minimizes?
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It minimizes the Frobenius norm.