colored box around a column in matrix [duplicate]

How can I go about drawing a colored box around a column in a matrix with an arrow and text like this:

Here is the code that I have thus far:

\documentclass[11pt]{book}

\usepackage{amsmath,amsfonts,amssymb,amsthm}

\makeatletter
\renewcommand*\env@matrix[1][*\c@MaxMatrixCols c]{%
\hskip -\arraycolsep
\let\@ifnextchar\new@ifnextchar
\array{#1}}
\makeatother

\usepackage{tikz}

\begin{document}

$$\begin{bmatrix}[cccc|c] 1 & 0 & -1 & 0 & 0 \\ 0 & 1 & 2 & 0 & 0 \\ 0 & 0 & 0 & 1 & 0 \end{bmatrix}\\$$

\end{document}


marked as duplicate by Peter Grill tikz-pgf StackExchange.ready(function() { if (StackExchange.options.isMobile) return; $('.dupe-hammer-message-hover:not(.hover-bound)').each(function() { var$hover = $(this).addClass('hover-bound'),$msg = $hover.siblings('.dupe-hammer-message');$hover.hover( function() { $hover.showInfoMessage('', { messageElement:$msg.clone().show(), transient: false, position: { my: 'bottom left', at: 'top center', offsetTop: -7 }, dismissable: false, relativeToBody: true }); }, function() { StackExchange.helpers.removeMessages(); } ); }); }); Feb 8 '16 at 7:47

The simplest way is write matrix as TikZ matrix and add desired column frame and note to it:

\documentclass[11pt]{book}
\usepackage{amsmath,amsfonts,amssymb,amsthm}
\usepackage{tikz}
\usetikzlibrary{arrows.meta,bending,matrix,positioning}

\begin{document}
\begin{tikzpicture}[ node distance=1mm and 0mm, baseline] \matrix (M1) [matrix of nodes,{left delimiter=[},{right delimiter=]}] { 1 & 0 & -1 & 0 & 0 \\ 0 & 1 & 2 & 0 & 0 \\ 0 & 0 & 0 & 1 & 0 \\ }; \draw (M1-1-4.north east) -- (M1-3-4.south east); \draw[red,very thick] (M1-1-3.north west) -| (M1-3-3.south east) -| (M1-1-3.north west); \node (fv) [below right=of M1.south east,align=left, font=\sffamily\bfseries] {free\\variable}; \draw[blue!60,very thick,shorten >=1mm,-{Stealth[bend]}] (fv.west) to [out=180,in=270] (M1-3-3.south); \end{tikzpicture}
\end{document}

• ! Package pgf Error: No shape named M1-1-4 is known. – JuanPi Jul 27 '18 at 16:16
• @JuanPi above mwe works. coordinate M1-1-4 is defined. i tested it now again with xelates as well with pdflatex. – Zarko Jul 27 '18 at 16:30
• you are right, I had an error in my matrix that was reported as shaped unknown. – JuanPi Jul 31 '18 at 11:23