# Extend double vertical bar

I'm trying to write an expression in math mode similar to this formula:

My LaTeX expression looks like this:

\min \| \begin{array}{c} ... \end{array} \|

but it happens that the double lines are short:

How can I extend the double vertical bar?

$\min \left\| \begin{bmatrix} A\\ \vdots \\ C\end{bmatrix} \right\|$