\documentclass[12pt,a4paper]{book}
\usepackage{amsmath,amssymb,amsthm,color}
\usepackage{hyperref}
\usepackage{blkarray}
\usepackage{arydshln}
\usepackage{xepersian}

\theoremstyle{definition}
\newtheorem{Example}{مثال}



\makeatletter
 \newif\if@borderstar
 \def\bordermatrix{\@ifnextchar*{%
 \@borderstartrue\@bordermatrix@i}{\@borderstarfalse\@bordermatrix@i*}%
 }
 \def\@bordermatrix@i*{\@ifnextchar[{\@bordermatrix@ii}{\@bordermatrix@ii[()]}}
 \def\@bordermatrix@ii[#1]#2{%
 \begingroup
 \m@th\@tempdima8.75\p@\setbox\z@\vbox{%
 \def\cr{\crcr\noalign{\kern 2\p@\global\let\cr\endline }}%
 \ialign {$##$\hfil\kern 2\p@\kern\@tempdima & \thinspace %
 \hfil $##$\hfil && \quad\hfil $##$\hfil\crcr\omit\strut %
 \hfil\crcr\noalign{\kern -\baselineskip}#2\crcr\omit %
 \strut\cr}}%
 \setbox\tw@\vbox{\unvcopy\z@\global\setbox\@ne\lastbox}%
 \setbox\tw@\hbox{\unhbox\@ne\unskip\global\setbox\@ne\lastbox}%
 \setbox\tw@\hbox{%
 $\kern\wd\@ne\kern -\@tempdima\left\@firstoftwo#1%
 \if@borderstar\kern2pt\else\kern -\wd\@ne\fi%
 \global\setbox\@ne\vbox{\box\@ne\if@borderstar\else\kern 2\p@\fi}%
 \vcenter{\if@borderstar\else\kern -\ht\@ne\fi%
 \unvbox\z@\kern-\if@borderstar2\fi\baselineskip}%
 \if@borderstar\kern-2\@tempdima\kern2\p@\else\,\fi\right\@secondoftwo#1 $%
 }\null \;\vbox{\kern\ht\@ne\box\tw@}%
 \endgroup
 }
 \makeatother




\begin{document}

%$\bordermatrix*[{[]}]{%
% x_{1} & x_{2} &  \cr
% x_{3} & x_{4} & 2 \cr
% x_{5} & x_{6} &  \cr
% & 2
%}$

\begin{equation*}
\bordermatrix*[{[]}]{%
0        &\cdots &0        &1        &0        &\cdots   &0        &                   \cr
1        &\cdots &0        &0        &0        &\cdots   &0        &                   \cr
\vdots &\ddots &\vdots &\vdots &\vdots &\qquad &\vdots &                    \cr
0        &\cdots &1         &0        &0        &\cdots  &0        & \leftarrow  \cr
0        &\cdots &0         &0        &1        &\cdots &0         &                   \cr
0        &\qquad &\vdots &\vdots &\vdots &\ddots &\vdots &                      \cr
0        &\cdots &0          &0        &0        &\cdots &1        &                     \cr
          &         &             &\uparrow        &          &  & &
}
\end{equation*}

\text{
سطر $j$ام
}


\text{
ستون $j$ام
}

\end{document}