How can I place 3 columns of equation systems?

Question

I need to create the next set of equations in latex, at the moment the only thing I know is to create them independently but I need to place them as you can see in the attached image, thank you very much.

And I also need to label the equation.

\[
Roberts=\begin{cases}
           G_x = \begin{pmatrix}
                    1 & 0\\
                    0 & -1
                \end{pmatrix}\\
       G_y = \begin{pmatrix}
                0 &amp; 1\\
                -1 &amp; 1
            \end{pmatrix}\\
    \end{cases}

]
[
Prewitt=\begin{cases}
           G_x = \begin{pmatrix}
                    1 & 0 & -1\
                    1 & 0 & -1\
                    1 & 0 & -1
                \end{pmatrix}\
       G_y = \begin{pmatrix}
                1 &amp; 1 &amp; 1\\
                0 &amp; 0 &amp; 0\\
                -1 &amp; -1 &amp; -1
            \end{pmatrix}\\
    \end{cases}

]
[
Sobel=\begin{cases}
           G_x = \begin{pmatrix}
                    -1 & 0 & -1\
                    -2 & 0 & 2\
                    -1 & 0 & 1
                \end{pmatrix}\
       G_y = \begin{pmatrix}
                1 &amp; 2 &amp; 1\\
                0 &amp; 0 &amp; 0\\
                -1 &amp; -2 &amp; -1
            \end{pmatrix}\\
    \end{cases}

]

Off topic: Don't put blank lines within math. See Blank lines in an equation and some other similar function — barbara beeton, Oct 09 '20 at 19:25

Zarko · Accepted Answer · 2020-10-09T17:57:00.283

(red lines show text borders)

You need to write your cases in one equation. Note: this equation is quite long and may happen that will spill out of border in your document ...

\documentclass{article}
%--------------- show page layout. don't use in a real document!
\usepackage{showframe}
\renewcommand\ShowFrameLinethickness{0.15pt}
\renewcommand*\ShowFrameColor{\color{red}}
%
\usepackage{lipsum}                             % for dummy text
%---------------------------------------------------------------%
\usepackage[margin=25mm]{geometry}
\usepackage{amsmath}
\begin{document}
\lipsum[11]
\begin{equation}                  % changed
       \setlength\arraycolsep{3pt}% added
\text{Roberts}
    =\begin{cases}
           G_x = \begin{pmatrix}
                    1 & 0\
                    0 & -1
                \end{pmatrix}\[3ex]
           G_y = \begin{pmatrix}
                    0 & 1\
                    -1 & 1
                \end{pmatrix}
        \end{cases}
\text{Prewitt}
    =\begin{cases}
           G_x = \begin{pmatrix}
                    1 & 0 & -1\
                    1 & 0 & -1\
                    1 & 0 & -1
                \end{pmatrix}\[4ex]
           G_y = \begin{pmatrix}
                    1 & 1 & 1\
                    0 & 0 & 0\
                    -1 & -1 & -1
                \end{pmatrix}
        \end{cases}
\text{Sobel}
    =\begin{cases}
           G_x = \begin{pmatrix}
                    -1 & 0 & -1\
                    -2 & 0 & 2\
                    -1 & 0 & 1
                \end{pmatrix}\[4ex]
           G_y = \begin{pmatrix}
                    1 & 2 & 1\
                    0 & 0 & 0\
                    -1 & -2 & -1
                \end{pmatrix}
        \end{cases}
\end{equation}
\lipsum[12]
\end{document}

Edit: Now equation has number. Also are changed size of \arraycolsep that equation can fit in determined page layout in above MWE,

And how can I label it and put the typical number of the equations? Thank you — Alejandro Fernández Suárez, Oct 09 '20 at 17:45
@AlejandroFernándezSuárez,as any numbered equation; instead \[ and \] use \begin{equation} and \end{equation respectively. See edited answer. — Zarko, Oct 09 '20 at 17:59

How can I place 3 columns of equation systems?

1 Answers1