# Overdetermined linear systems
```{epigraph}
I must have hit her pretty close to the mark to get her all riled up like that, huh, kid?
-- Han Solo, *The Empire Strikes Back*
```
So far we have considered $\mathbf{A}\mathbf{x}=\mathbf{b}$ only when $\mathbf{A}$ is a square matrix. In this chapter we consider how to interpret and solve the problem for an $m\times n$ matrix where $m>n$---and in practice, $m$ is often *much* larger than $n$. This is called an {term}`overdetermined` linear system because, in general, the system has more equations to satisfy than the variables allow. The complementary *underdetermined* case $m