Question: 11. Let $x_0$ be a solution to $Ax = g$ where $x_0 = A^T g$. Show that y is a solution where $y=x_0 + z$

11. Let $x_0$ be a solution to $Ax = g$ where $x_0 = A^T g$. Show that y is a solution where

$y=x_0 + z$ for all vectors z that belong to the orthogonal complement of the column space of $A^T$.

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