Hcfyk

begin{center}

begin{tabular}{ c c c c c}

 $0$ & $c_2$ & $c_3$ & ldots & $c_M$ \ 

 $e_2$ & $c_2+e_2$ & $c_3+e_2$ & ldots& $c_M+e_2$ \  

 $e_3$ & $c_2+e_3$ & $c_3+e_3$ & ldots& $c_M+e_3$ \    

 $e_4$ & $c_2+e_4$ & $c_3+e_4$ & ldots& $c_M+e_4$ \  

 vdots & vdots & vdots &  $ddots$ &vdots \  

 $e_N$ & $c_2+e_N$ & $c_3+e_N$ & ldots& $c_M+e_N$ \ 

end{tabular}



end{center}

I have tried this code. But I how I can add those lines in the table?

documentclass{article}

begin{document}

begin{center}

begin{tabular}{|c|c c c c|}

hline

 $0$ & $c_2$ & $c_3$ & ldots & $c_M$ \ hline

 $e_2$ & $c_2+e_2$ & $c_3+e_2$ & ldots& $c_M+e_2$ \  

 $e_3$ & $c_2+e_3$ & $c_3+e_3$ & ldots& $c_M+e_3$ \    

 $e_4$ & $c_2+e_4$ & $c_3+e_4$ & ldots& $c_M+e_4$ \  

 vdots & vdots & vdots &  $ddots$ &vdots \  

 $e_N$ & $c_2+e_N$ & $c_3+e_N$ & ldots& $c_M+e_N$ \ hline

end{tabular}

end{center}

end{document}

This is the rotated solution: just use the amazing yslant in a TikZ node :) M. Al Jumaily's solution is excellent, but there is absolutely no need of such a complicated code.

documentclass[tikz]{standalone}

begin{document}

begin{tikzpicture}

node[yslant=-.1] {%

begin{tabular}{|c|c c c c|}

hline

 $0$ & $c_2$ & $c_3$ & ldots & $c_M$ \ hline

 $e_2$ & $c_2+e_2$ & $c_3+e_2$ & ldots& $c_M+e_2$ \  

 $e_3$ & $c_2+e_3$ & $c_3+e_3$ & ldots& $c_M+e_3$ \    

 $e_4$ & $c_2+e_4$ & $c_3+e_4$ & ldots& $c_M+e_4$ \  

 vdots & vdots & vdots &  $ddots$ &vdots \  

 $e_N$ & $c_2+e_N$ & $c_3+e_N$ & ldots& $c_M+e_N$ \ hline

end{tabular}};

end{tikzpicture}

end{document}

Perfect parallelogram: even the baselines are now slanted :)

I am sure this is a perfect parallelogram. This is a proof, which is funny for extraordinary users :)

documentclass[tikz]{standalone}

begin{document}

begin{tikzpicture}

node[yslant=-1] {%

begin{tabular}{|c|c c c c|}

hline

 $0$ & $c_2$ & $c_3$ & ldots & $c_M$ \ hline

 $e_2$ & $c_2+e_2$ & $c_3+e_2$ & ldots& $c_M+e_2$ \  

 $e_3$ & $c_2+e_3$ & $c_3+e_3$ & ldots& $c_M+e_3$ \    

 $e_4$ & $c_2+e_4$ & $c_3+e_4$ & ldots& $c_M+e_4$ \  

 vdots & vdots & vdots &  $ddots$ &vdots \  

 $e_N$ & $c_2+e_N$ & $c_3+e_N$ & ldots& $c_M+e_N$ \ hline

end{tabular}};

end{tikzpicture}

end{document}

The plus signs almost become some slanted X's.

from image in your question can be concluded, that you like to have rotated table ... :-)

documentclass{article}

usepackage{graphicx}



usepackage{lipsum}

begin{document}

lipsum[1]

    begin{center}

rotatebox[origin=c]{-15}{

$

begin{array}{|c|c c c c|}

    hline

0       & c_2       & c_3       & ldots & c_M      \

    hline

e_2     & c_2+e_2   & c_3+e_2   & ldots & c_M+e_2  \

e_3     & c_2+e_3   & c_3+e_3   & ldots & c_M+e_3  \

e_4     & c_2+e_4   & c_3+e_4   & ldots & c_M+e_4  \

vdots  & vdots    & vdots    & ddots & vdots   \

e_N     & c_2+e_N   & c_3+e_N   & ldots & c_M+e_N  \

    hline

end{array}

$}

    end{center}

lipsum[2]

end{document}

... just for joy ...

Here's a solution which employs an array environment instead of a tabular environment. Note the absence of 42 [!] $ symbols.

documentclass{article}

begin{document}

[

begin{array}{ |c|c c c c|}

hline

  0       & c_2     & c_3     & ldots & c_M \

hline

  e_2     & c_2+e_2 & c_3+e_2 & ldots & c_M+e_2 \  

  e_3     & c_2+e_3 & c_3+e_3 & ldots & c_M+e_3 \    

  e_4     & c_2+e_4 & c_3+e_4 & ldots & c_M+e_4 \  

  vdots  & vdots  & vdots  & ddots & vdots  \  

  e_N     & c_2+e_N & c_3+e_N & ldots & c_M+e_N \ 

hline

end{array}

]

end{document}

Here is a Tikz solution:

documentclass[margin=1cm, tikz]{standalone}

usepackage{tikz}

begin{document}

    begin{tikzpicture}

        %NOTE! Everyting is zero-based

        defourInfo{{

            {0,"$c_2$","$c_3$", "$cdots$", "$c_M$"},                     % Row 0

            {"$e_2$", "$c_2+e_2$", "$c_3+e_2$", "$cdots$", "$c_M+e_2$"},   % Row 1

            {"$e_3$", "$c_2+e_3$", "$c_3+e_3$", "$cdots$", "$c_M+e_3$"},   % Row 2

            {"$e_4$", "$c_2+e_4$", "$c_3+e_4$", "$cdots$", "$c_M+e_4$"},   % Row 3

            {"$cdot$", "$cdot$", "$cdot$", "$cdots$", "$cdot$"},       % Row 4

            {"$cdot$", "$cdot$", "$cdot$", "$cdots$", "$cdot$"},       % Row 5

            {"$cdot$", "$cdot$", "$cdot$", "$cdots$", "$cdot$"},       % Row 6

            {"$e_N$", "$c_2+e_N$", "$c_3+e_N$", "$cdots$", "$c_M+e_N$"},   % Row 7

        }}

        pgfmathsetmacro{length}{7}% Zero based.

        % Loop through the 2D array, get a row, iterate through its cells,

        % print them and go to the next row.

        foreach i in {0, ..., length}{% Rows

            foreach j in {0, ..., 4}{% Columns

            pgfmathsetmacro{data}{ourInfo[i][j]};% Read the cell

             node[rotate = -2, below] at (j +j/2 , -i/2 -j*0.1) {data};

            }

        }

        % Drawing the lines

        draw[thick, rotate = -4] (-0.2,0)--(6.75,0){};% Top horizontal

        draw[thick, rotate = -4] (-0.2,-0.45)--(6.78,-0.45){};% Center horizontal

        draw[thick, rotate = -4] (-0.06,-4)--(7.01,-4){};% Bottom horizontal

        draw[thick, rotate = -4] (-0.215,0.01)--(-0.05,-4){};% Left vertical

        draw[thick, rotate = -4] (0.6,0.01)--(0.75,-4){};% Center vertical

        draw[thick, rotate = -4] (6.75,0.01)--(7,-4){};% Right vertical

    end{tikzpicture}

end{document}