\documentclass{report}
\usepackage{tikz}
\usepackage{rotating}
\usepackage{xepersian}
\settextfont{XB Yas}
\setdigitfont{XB Yas}
\newcommand{\tikzmark}[2]{\tikz[remember picture,baseline=(#1.base)] \node (#1) {#2};}
\begin{document}
  \begin{LTR}
\begin{table}[ht]
\begin{center}
\begin{tabular}{|cccc|cccc|}
\tikzmark{1}{$+$}&\tikzmark{3}{$-$}&\tikzmark{5}{$+$}&\tikzmark{7}{$-$}&\tikzmark{9}{$-$}&\tikzmark{11}{$+$}&\tikzmark{13}{$-$}&\tikzmark{15}{$+$}\\
$a_{11}$&$a_{12}$&$a_{13}$&$a_{14}$&$a_{11}$&$a_{12}$&$a_{13}$&$a_{14}$\\
$a_{21}$&$a_{22}$&$a_{23}$&$a_{24}$&$a_{21}$&$a_{22}$&$a_{23}$&$a_{24}$\\
$a_{31}$&$a_{32}$&$a_{33}$&$a_{34}$&$a_{31}$&$a_{32}$&$a_{33}$&$a_{34}$\\
\tikzmark{10}{$a_{41}$}&\tikzmark{12}{$a_{42}$}&\tikzmark{14}{$a_{43}$}&\tikzmark{16}{$a_{43}$}&\tikzmark{2}{$a_{41}$}&\tikzmark{4}{$a_{42}$}&\tikzmark{6}{$a_{43}$}&\tikzmark{8}{$a_{44}$}\\
\end{tabular}
\end{center}
\end{table}
\end{LTR}
\tikz[overlay,remember picture] {
  \draw[->,dashed, thick,red] ([yshift=-2ex,xshift=-2ex]1.center) -- ([yshift=-3ex,xshift=0ex]2.center)node[midway,sloped,above]{};
  \draw[->,dashed, thick,red] ([yshift=-2ex,xshift=-2ex]3.center) -- ([yshift=-3ex,xshift=0ex]4.center)node[midway,sloped,above]{};
  \draw[->,dashed, thick,red] ([yshift=-2ex,xshift=-2ex]5.center) -- ([yshift=-3ex,xshift=0ex]6.center)node[midway,sloped,above]{};
  \draw[->,dashed, thick,red] ([yshift=-2ex,xshift=-2ex]7.center) -- ([yshift=-3ex,xshift=0ex]8.center)node[midway,sloped,above]{};
  \draw[->,dashed, thick,green] ([yshift=0ex,xshift=5ex]9.center) -- ([yshift=-3ex,xshift=0ex]10.center)node[midway,sloped,above]{};
  \draw[->,dashed, thick,green] ([yshift=0ex,xshift=5ex]11.center) -- ([yshift=-3ex,xshift=0ex]12.center)node[midway,sloped,above]{};
  \draw[->,dashed, thick,green] ([yshift=0ex,xshift=5ex]13.center) -- ([yshift=-3ex,xshift=0ex]14.center)node[midway,sloped,above]{};
  \draw[->,dashed, thick,green] ([yshift=0ex,xshift=5ex]15.center) -- ([yshift=-3ex,xshift=0ex]16.center)node[midway,sloped,above]{};
}$=a_{11}a_{22}-a_{12}a_{21}$
\end{document}