How can I create a matrix with row labels on the outside (left and right) and a vertical line inside?

Question

I'm trying to achieve something like the picture below, I am currently using {pNiceMatrix} and can achieve the labels but cannot seem to find a way to put a vertical line in. Any suggestions?

My current code and output is below:

\usepackage{nicematrix}
\NiceMatrixOptions{
code-for-first-col = \color{blue} ,
code-for-last-col = \color{blue}
}
\begin{document}
    $\begin{pNiceMatrix}[first-col,last-col]
    r_1  & 1  & 0  & 1  & 1  & 10  & 13 \\
    r_2  & 3  & 1  & 1  & 1  & 20  & 26 \\
    r_3  & 2  & -1  & 4  & -1  & 0  & 4 \\
    r_4  & 4  & 4  & 2   & -2  &6  & 11 \\
    \end{pNiceMatrix}$


\end{document}

Answer 1

\documentclass[a4paper, 12pt]{article}
\usepackage{nicematrix}
\usepackage{tikz}
\NiceMatrixOptions{
code-for-first-col = \color{blue} ,
code-for-last-col = \color{blue}
}
\begin{document}
    $\begin{pNiceMatrix}[first-col,last-col]
    r_1  & 1  & 0  & 1  & 1  & 10  & 13 \\
    r_2  & 3  & 1  & 1  & 1  & 20  & 26 \\
    r_3  & 2  & -1  & 4  & -1  & 0  & 4 \\
    r_4  & 4  & 4  & 2   & -2  &6  & 11 
    \CodeAfter
    \tikz \draw (1-|5) -- (5-|5)  ;
    \end{pNiceMatrix}$


\end{document}

Answer 2

A solution with {pNiceArray}.

\documentclass[a4paper, 12pt]{article}
\usepackage{nicematrix}
\NiceMatrixOptions{
code-for-first-col = \color{blue} ,
code-for-last-col = \color{blue}
}
\begin{document}
    $\begin{pNiceArray}[first-col,last-col]{cccc|c}
    r_1  & 1  & 0  & 1  & 1  & 10  & 13 \\
    r_2  & 3  & 1  & 1  & 1  & 20  & 26 \\
    r_3  & 2  & -1  & 4  & -1  & 0  & 4 \\
    r_4  & 4  & 4  & 2   & -2  &6  & 11 
    \end{pNiceArray}$


\end{document}