Exchange Arrows in bmatrix
An easy solution with pstricks
: the relevant entries in the matrix are \rnode
s and linked through a node connection (\ncarc
):
\documentclass[10pt,letterpaper, svgnames]{article}
\usepackage[left=8mm,top=6mm,bottom=6mm]{geometry}
\usepackage{nccmath}
\usepackage{soul}
\usepackage[normalem]{ulem}
\usepackage{pst-node}
\begin{document}
\[ \setlength{\arraycolsep}{6pt}\renewcommand{\arraystretch}{1.1}
\mbox{
\Large$
\begin{bmatrix}
1 & \rnode{a}{1} &\rnode{b}{2}\\
\rnode{c}{1}&1&\rnode{d}{3}\\
\rnode{e}{2}&\rnode{f}{1}&4
\end{bmatrix}
$}
\psset{arrows=<->, arrowinset=0.12, nodesepA=1pt, nodesepB=0pt, arcangle=30}
\ncarc[linecolor=Gold]{c}{a}\ncarc[linecolor=Crimson]{e}{b}\ncarc[linecolor=Brown]{f}{d}
\]
\end{document}
One possibilities is use of the tikzmark
library:
\documentclass[10pt,letterpaper]{article}
\usepackage[left=8mm,top=6mm,bottom=6mm]{geometry}
\usepackage{nccmath}
\usepackage{tikz}
\usetikzlibrary{arrows.meta,
tikzmark} % new
\begin{document}
{\Large
\[
\begin{bmatrix}
1 & \tikzmarknode{a1}{1} & \tikzmarknode{b1}{2}\\
\tikzmarknode{a2}{1} & 1 &\tikzmarknode{c1}{3}\\
\tikzmarknode{b2}{2} & \tikzmarknode{c2}{1} & 4
\end{bmatrix}
\begin{tikzpicture}[overlay,remember picture,
>={Straight Barb[angle=60:2pt 2]}
]
\draw[<->, thick, red, semitransparent]
(a1) edge (a2)
(b1) edge (b2)
(c1) to (c2);
\draw[<->, thick, blue, semitransparent]
(a1) edge[bend right] (a2)
(b1) edge[bend right] (b2)
(c1) to[bend right] (c2);
\end{tikzpicture}
\]
}
\end{document}
You need to select \draw[...]
which you more prefer (for red or for blue) arrows and remove other.
You can use nicematrix
which will create a PGF/Tikz node under each cell of the matrix. Then, you have to draw the arrows with Tikz.
\documentclass{article}
\usepackage{nicematrix}
\usepackage{tikz}
\begin{document}
$\begin{bNiceMatrix}[name=A,columns-width=7mm]
1 & 1 & 2 \\[1ex]
1 & 1 & 3 \\[1ex]
2 & 1 & 4 \\
\end{bNiceMatrix}$
\begin{tikzpicture}[remember picture, overlay,
every path/.style = { <->, thick, blue , bend right = 15, } ]
\draw (A-1-2) to (A-2-1) ;
\draw (A-2-3) to (A-3-2) ;
\draw (A-1-3) to (A-3-1) ;
\end{tikzpicture}
\end{document}