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Show sparse matrices like chessboards


Parametrize shading in table through TikZDrawing heatmaps using TikZLaTeX Tables: Cell value color based on its sign / conditional cell colorsymmetric matricesTikZ marking several blocks in a matrixeasybmat matrices dotted linesMatrices off the pageHomogeneous Matrices (elements size)Matrices with cryptocode packageAlign matrices in TexmakerWriting matrices in latexSystem of matricesHow to show matrix numbering under the matrices?













5















I am trying to display sparse matrices like chessboards, where white places indicates 0 entries and black ones non-zero entries (in this case matrices are boolean so every non-zero entry is a one entry), but I can't find a proper way.



Because I am looking to show more than one matrix (more in detail, I have to show matrix A and its power), I will have to print more than one on the same page and specify their layout, like figures.



For example, given this matrix as input:



| 0 | 1 | 0 |
| 1 | 0 | 1 |
| 0 | 1 | 0 |


I would expect such output:



enter image description here










share|improve this question
























  • Welcome to the site. You are expected to provide a small, complete (non)working example of code demonstrating what you have tried. An image of what you are hoping to achieve would help a great deal.

    – Steven B. Segletes
    10 hours ago











  • Perhaps this question might apply directly? tex.stackexchange.com/questions/44868/… and tex.stackexchange.com/questions/42444/… and tex.stackexchange.com/questions/174234/…

    – Steven B. Segletes
    9 hours ago
















5















I am trying to display sparse matrices like chessboards, where white places indicates 0 entries and black ones non-zero entries (in this case matrices are boolean so every non-zero entry is a one entry), but I can't find a proper way.



Because I am looking to show more than one matrix (more in detail, I have to show matrix A and its power), I will have to print more than one on the same page and specify their layout, like figures.



For example, given this matrix as input:



| 0 | 1 | 0 |
| 1 | 0 | 1 |
| 0 | 1 | 0 |


I would expect such output:



enter image description here










share|improve this question
























  • Welcome to the site. You are expected to provide a small, complete (non)working example of code demonstrating what you have tried. An image of what you are hoping to achieve would help a great deal.

    – Steven B. Segletes
    10 hours ago











  • Perhaps this question might apply directly? tex.stackexchange.com/questions/44868/… and tex.stackexchange.com/questions/42444/… and tex.stackexchange.com/questions/174234/…

    – Steven B. Segletes
    9 hours ago














5












5








5


2






I am trying to display sparse matrices like chessboards, where white places indicates 0 entries and black ones non-zero entries (in this case matrices are boolean so every non-zero entry is a one entry), but I can't find a proper way.



Because I am looking to show more than one matrix (more in detail, I have to show matrix A and its power), I will have to print more than one on the same page and specify their layout, like figures.



For example, given this matrix as input:



| 0 | 1 | 0 |
| 1 | 0 | 1 |
| 0 | 1 | 0 |


I would expect such output:



enter image description here










share|improve this question
















I am trying to display sparse matrices like chessboards, where white places indicates 0 entries and black ones non-zero entries (in this case matrices are boolean so every non-zero entry is a one entry), but I can't find a proper way.



Because I am looking to show more than one matrix (more in detail, I have to show matrix A and its power), I will have to print more than one on the same page and specify their layout, like figures.



For example, given this matrix as input:



| 0 | 1 | 0 |
| 1 | 0 | 1 |
| 0 | 1 | 0 |


I would expect such output:



enter image description here







matrices






share|improve this question















share|improve this question













share|improve this question




share|improve this question








edited 9 hours ago







EagleOne

















asked 10 hours ago









EagleOneEagleOne

456




456












  • Welcome to the site. You are expected to provide a small, complete (non)working example of code demonstrating what you have tried. An image of what you are hoping to achieve would help a great deal.

    – Steven B. Segletes
    10 hours ago











  • Perhaps this question might apply directly? tex.stackexchange.com/questions/44868/… and tex.stackexchange.com/questions/42444/… and tex.stackexchange.com/questions/174234/…

    – Steven B. Segletes
    9 hours ago


















  • Welcome to the site. You are expected to provide a small, complete (non)working example of code demonstrating what you have tried. An image of what you are hoping to achieve would help a great deal.

    – Steven B. Segletes
    10 hours ago











  • Perhaps this question might apply directly? tex.stackexchange.com/questions/44868/… and tex.stackexchange.com/questions/42444/… and tex.stackexchange.com/questions/174234/…

    – Steven B. Segletes
    9 hours ago

















Welcome to the site. You are expected to provide a small, complete (non)working example of code demonstrating what you have tried. An image of what you are hoping to achieve would help a great deal.

– Steven B. Segletes
10 hours ago





Welcome to the site. You are expected to provide a small, complete (non)working example of code demonstrating what you have tried. An image of what you are hoping to achieve would help a great deal.

– Steven B. Segletes
10 hours ago













Perhaps this question might apply directly? tex.stackexchange.com/questions/44868/… and tex.stackexchange.com/questions/42444/… and tex.stackexchange.com/questions/174234/…

– Steven B. Segletes
9 hours ago






Perhaps this question might apply directly? tex.stackexchange.com/questions/44868/… and tex.stackexchange.com/questions/42444/… and tex.stackexchange.com/questions/174234/…

– Steven B. Segletes
9 hours ago











2 Answers
2






active

oldest

votes


















3














With TikZ this is rather straightforward.



documentclassarticle
usepackagetikz
usetikzlibrarymatrix
begindocument
begintikzpicture[0/.style=draw,ultra thin,1/.style=0,fill=black]
matrix[matrix of nodes,cells=minimum size=1.5em,anchor=center]
& ;
endtikzpicture
enddocument


enter image description here



If you have a simple pattern as this one, you could also do



documentclassarticle
usepackagetikz
usetikzlibrarymatrix
begindocument
begintikzpicture[my cell/.style=/utils/exec=%
pgfmathtruncatemacroitestmod(thepgfmatrixcurrentrow+thepgfmatrixcurrentcolumn,2)
ifnumitest=1
pgfkeysalso/tikz/fill=black
fi]
matrix[matrix of nodes,nodes in empty cells,
nodes=minimum size=1.5em,anchor=center,draw,ultra thin,my cell]
& & \
& & \
& & \
;
endtikzpicture
enddocument





share|improve this answer
































    4














    With a fairly natural syntax:



    documentclassarticle
    usepackageamsmath

    newlengthsparsesize
    setlengthsparsesize12pt

    newcommandsparsezero%
    begingroup
    setlengthfboxsep-0.2pt%
    setlengthfboxrule0.2pt%
    fboxhspacesparsesizerule0ptsparsesize%
    endgroup

    newcommandsparseonerulesparsesizesparsesize
    newcommandactivate[2]%
    begingrouplccode`~=`#1lowercaseendgrouplet~#2%
    mathcode`#1="8000


    newenvironmentsparsematrix
    %
    renewcommandarraystretch0%
    setlengtharraycolsep0pt%
    activate0sparsezeroactivate1sparseone%
    beginmatrix%

    endmatrix

    begindocument

    [
    beginpmatrix
    0 & 1 & 0 \
    1 & 0 & 1 \
    0 & 1 & 0
    endpmatrix
    =
    beginsparsematrix
    0 & 1 & 0 \
    1 & 0 & 1 \
    0 & 1 & 0
    endsparsematrix
    ]

    enddocument


    enter image description here



    For general matrices with integer coefficients it's a bit more difficult.



    documentclassarticle
    usepackageamsmath,xparse

    newlengthsparsesize
    setlengthsparsesize12pt
    newcommandsparsezero%
    begingroup
    setlengthfboxsep-0.2pt%
    setlengthfboxrule0.2pt%
    fboxhspacesparsesizerule0ptsparsesize%
    endgroup

    newcommandsparseonerulesparsesizesparsesize

    ExplSyntaxOn
    NewDocumentEnvironmentsparsematrixb

    renewcommandarraystretch0%
    setlengtharraycolsep0pt%
    % make a subformula
    beginmatrix
    eagleone_sparsematrix:n #1
    endmatrix



    seq_new:N l__eagleone_sparsematrix_rows_seq
    seq_new:N l__eagleone_sparsematrix_row_in_seq
    seq_new:N l__eagleone_sparsematrix_row_out_seq

    cs_new_protected:Nn eagleone_sparsematrix:n

    seq_set_split:Nnn l__eagleone_sparsematrix_rows_seq \ #1
    seq_map_function:NN l__eagleone_sparsematrix_rows_seq __eagleone_sparsematrix_row:n

    cs_new_protected:Nn __eagleone_sparsematrix_row:n

    seq_set_split:Nnn l__eagleone_sparsematrix_row_in_seq & #1
    seq_map_inline:Nn l__eagleone_sparsematrix_row_in_seq

    int_compare:nTF ##1 = 0

    seq_put_right:Nn l__eagleone_sparsematrix_row_out_seq sparsezero


    seq_put_right:Nn l__eagleone_sparsematrix_row_out_seq sparseone


    seq_use:Nn l__eagleone_sparsematrix_row_out_seq & \


    ExplSyntaxOff

    begindocument

    [
    beginpmatrix
    0 & 1 & 0 \
    1 & 0 & 1 \
    0 & 1 & 0
    endpmatrix
    =
    beginsparsematrix
    0 & 1 & 0 \
    1 & 0 & 1 \
    0 & 1 & 0
    endsparsematrix
    ]

    [
    beginsparsematrix
    0 & 1 & 0 \
    1 & 0 & 1 \
    0 & 1 & 0
    endsparsematrix^2
    =
    beginsparsematrix
    1 & 0 & 1 \
    0 & 2 & 0 \
    1 & 0 & 1
    endsparsematrix
    ]

    enddocument


    enter image description here






    share|improve this answer


















    • 1





      For my humble opinion: excellent. +1.

      – Sebastiano
      7 hours ago











    Your Answer








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    2 Answers
    2






    active

    oldest

    votes








    2 Answers
    2






    active

    oldest

    votes









    active

    oldest

    votes






    active

    oldest

    votes









    3














    With TikZ this is rather straightforward.



    documentclassarticle
    usepackagetikz
    usetikzlibrarymatrix
    begindocument
    begintikzpicture[0/.style=draw,ultra thin,1/.style=0,fill=black]
    matrix[matrix of nodes,cells=minimum size=1.5em,anchor=center]
    & ;
    endtikzpicture
    enddocument


    enter image description here



    If you have a simple pattern as this one, you could also do



    documentclassarticle
    usepackagetikz
    usetikzlibrarymatrix
    begindocument
    begintikzpicture[my cell/.style=/utils/exec=%
    pgfmathtruncatemacroitestmod(thepgfmatrixcurrentrow+thepgfmatrixcurrentcolumn,2)
    ifnumitest=1
    pgfkeysalso/tikz/fill=black
    fi]
    matrix[matrix of nodes,nodes in empty cells,
    nodes=minimum size=1.5em,anchor=center,draw,ultra thin,my cell]
    & & \
    & & \
    & & \
    ;
    endtikzpicture
    enddocument





    share|improve this answer





























      3














      With TikZ this is rather straightforward.



      documentclassarticle
      usepackagetikz
      usetikzlibrarymatrix
      begindocument
      begintikzpicture[0/.style=draw,ultra thin,1/.style=0,fill=black]
      matrix[matrix of nodes,cells=minimum size=1.5em,anchor=center]
      & ;
      endtikzpicture
      enddocument


      enter image description here



      If you have a simple pattern as this one, you could also do



      documentclassarticle
      usepackagetikz
      usetikzlibrarymatrix
      begindocument
      begintikzpicture[my cell/.style=/utils/exec=%
      pgfmathtruncatemacroitestmod(thepgfmatrixcurrentrow+thepgfmatrixcurrentcolumn,2)
      ifnumitest=1
      pgfkeysalso/tikz/fill=black
      fi]
      matrix[matrix of nodes,nodes in empty cells,
      nodes=minimum size=1.5em,anchor=center,draw,ultra thin,my cell]
      & & \
      & & \
      & & \
      ;
      endtikzpicture
      enddocument





      share|improve this answer



























        3












        3








        3







        With TikZ this is rather straightforward.



        documentclassarticle
        usepackagetikz
        usetikzlibrarymatrix
        begindocument
        begintikzpicture[0/.style=draw,ultra thin,1/.style=0,fill=black]
        matrix[matrix of nodes,cells=minimum size=1.5em,anchor=center]
        & ;
        endtikzpicture
        enddocument


        enter image description here



        If you have a simple pattern as this one, you could also do



        documentclassarticle
        usepackagetikz
        usetikzlibrarymatrix
        begindocument
        begintikzpicture[my cell/.style=/utils/exec=%
        pgfmathtruncatemacroitestmod(thepgfmatrixcurrentrow+thepgfmatrixcurrentcolumn,2)
        ifnumitest=1
        pgfkeysalso/tikz/fill=black
        fi]
        matrix[matrix of nodes,nodes in empty cells,
        nodes=minimum size=1.5em,anchor=center,draw,ultra thin,my cell]
        & & \
        & & \
        & & \
        ;
        endtikzpicture
        enddocument





        share|improve this answer















        With TikZ this is rather straightforward.



        documentclassarticle
        usepackagetikz
        usetikzlibrarymatrix
        begindocument
        begintikzpicture[0/.style=draw,ultra thin,1/.style=0,fill=black]
        matrix[matrix of nodes,cells=minimum size=1.5em,anchor=center]
        & ;
        endtikzpicture
        enddocument


        enter image description here



        If you have a simple pattern as this one, you could also do



        documentclassarticle
        usepackagetikz
        usetikzlibrarymatrix
        begindocument
        begintikzpicture[my cell/.style=/utils/exec=%
        pgfmathtruncatemacroitestmod(thepgfmatrixcurrentrow+thepgfmatrixcurrentcolumn,2)
        ifnumitest=1
        pgfkeysalso/tikz/fill=black
        fi]
        matrix[matrix of nodes,nodes in empty cells,
        nodes=minimum size=1.5em,anchor=center,draw,ultra thin,my cell]
        & & \
        & & \
        & & \
        ;
        endtikzpicture
        enddocument






        share|improve this answer














        share|improve this answer



        share|improve this answer








        edited 8 hours ago

























        answered 8 hours ago









        marmotmarmot

        131k6166316




        131k6166316





















            4














            With a fairly natural syntax:



            documentclassarticle
            usepackageamsmath

            newlengthsparsesize
            setlengthsparsesize12pt

            newcommandsparsezero%
            begingroup
            setlengthfboxsep-0.2pt%
            setlengthfboxrule0.2pt%
            fboxhspacesparsesizerule0ptsparsesize%
            endgroup

            newcommandsparseonerulesparsesizesparsesize
            newcommandactivate[2]%
            begingrouplccode`~=`#1lowercaseendgrouplet~#2%
            mathcode`#1="8000


            newenvironmentsparsematrix
            %
            renewcommandarraystretch0%
            setlengtharraycolsep0pt%
            activate0sparsezeroactivate1sparseone%
            beginmatrix%

            endmatrix

            begindocument

            [
            beginpmatrix
            0 & 1 & 0 \
            1 & 0 & 1 \
            0 & 1 & 0
            endpmatrix
            =
            beginsparsematrix
            0 & 1 & 0 \
            1 & 0 & 1 \
            0 & 1 & 0
            endsparsematrix
            ]

            enddocument


            enter image description here



            For general matrices with integer coefficients it's a bit more difficult.



            documentclassarticle
            usepackageamsmath,xparse

            newlengthsparsesize
            setlengthsparsesize12pt
            newcommandsparsezero%
            begingroup
            setlengthfboxsep-0.2pt%
            setlengthfboxrule0.2pt%
            fboxhspacesparsesizerule0ptsparsesize%
            endgroup

            newcommandsparseonerulesparsesizesparsesize

            ExplSyntaxOn
            NewDocumentEnvironmentsparsematrixb

            renewcommandarraystretch0%
            setlengtharraycolsep0pt%
            % make a subformula
            beginmatrix
            eagleone_sparsematrix:n #1
            endmatrix



            seq_new:N l__eagleone_sparsematrix_rows_seq
            seq_new:N l__eagleone_sparsematrix_row_in_seq
            seq_new:N l__eagleone_sparsematrix_row_out_seq

            cs_new_protected:Nn eagleone_sparsematrix:n

            seq_set_split:Nnn l__eagleone_sparsematrix_rows_seq \ #1
            seq_map_function:NN l__eagleone_sparsematrix_rows_seq __eagleone_sparsematrix_row:n

            cs_new_protected:Nn __eagleone_sparsematrix_row:n

            seq_set_split:Nnn l__eagleone_sparsematrix_row_in_seq & #1
            seq_map_inline:Nn l__eagleone_sparsematrix_row_in_seq

            int_compare:nTF ##1 = 0

            seq_put_right:Nn l__eagleone_sparsematrix_row_out_seq sparsezero


            seq_put_right:Nn l__eagleone_sparsematrix_row_out_seq sparseone


            seq_use:Nn l__eagleone_sparsematrix_row_out_seq & \


            ExplSyntaxOff

            begindocument

            [
            beginpmatrix
            0 & 1 & 0 \
            1 & 0 & 1 \
            0 & 1 & 0
            endpmatrix
            =
            beginsparsematrix
            0 & 1 & 0 \
            1 & 0 & 1 \
            0 & 1 & 0
            endsparsematrix
            ]

            [
            beginsparsematrix
            0 & 1 & 0 \
            1 & 0 & 1 \
            0 & 1 & 0
            endsparsematrix^2
            =
            beginsparsematrix
            1 & 0 & 1 \
            0 & 2 & 0 \
            1 & 0 & 1
            endsparsematrix
            ]

            enddocument


            enter image description here






            share|improve this answer


















            • 1





              For my humble opinion: excellent. +1.

              – Sebastiano
              7 hours ago















            4














            With a fairly natural syntax:



            documentclassarticle
            usepackageamsmath

            newlengthsparsesize
            setlengthsparsesize12pt

            newcommandsparsezero%
            begingroup
            setlengthfboxsep-0.2pt%
            setlengthfboxrule0.2pt%
            fboxhspacesparsesizerule0ptsparsesize%
            endgroup

            newcommandsparseonerulesparsesizesparsesize
            newcommandactivate[2]%
            begingrouplccode`~=`#1lowercaseendgrouplet~#2%
            mathcode`#1="8000


            newenvironmentsparsematrix
            %
            renewcommandarraystretch0%
            setlengtharraycolsep0pt%
            activate0sparsezeroactivate1sparseone%
            beginmatrix%

            endmatrix

            begindocument

            [
            beginpmatrix
            0 & 1 & 0 \
            1 & 0 & 1 \
            0 & 1 & 0
            endpmatrix
            =
            beginsparsematrix
            0 & 1 & 0 \
            1 & 0 & 1 \
            0 & 1 & 0
            endsparsematrix
            ]

            enddocument


            enter image description here



            For general matrices with integer coefficients it's a bit more difficult.



            documentclassarticle
            usepackageamsmath,xparse

            newlengthsparsesize
            setlengthsparsesize12pt
            newcommandsparsezero%
            begingroup
            setlengthfboxsep-0.2pt%
            setlengthfboxrule0.2pt%
            fboxhspacesparsesizerule0ptsparsesize%
            endgroup

            newcommandsparseonerulesparsesizesparsesize

            ExplSyntaxOn
            NewDocumentEnvironmentsparsematrixb

            renewcommandarraystretch0%
            setlengtharraycolsep0pt%
            % make a subformula
            beginmatrix
            eagleone_sparsematrix:n #1
            endmatrix



            seq_new:N l__eagleone_sparsematrix_rows_seq
            seq_new:N l__eagleone_sparsematrix_row_in_seq
            seq_new:N l__eagleone_sparsematrix_row_out_seq

            cs_new_protected:Nn eagleone_sparsematrix:n

            seq_set_split:Nnn l__eagleone_sparsematrix_rows_seq \ #1
            seq_map_function:NN l__eagleone_sparsematrix_rows_seq __eagleone_sparsematrix_row:n

            cs_new_protected:Nn __eagleone_sparsematrix_row:n

            seq_set_split:Nnn l__eagleone_sparsematrix_row_in_seq & #1
            seq_map_inline:Nn l__eagleone_sparsematrix_row_in_seq

            int_compare:nTF ##1 = 0

            seq_put_right:Nn l__eagleone_sparsematrix_row_out_seq sparsezero


            seq_put_right:Nn l__eagleone_sparsematrix_row_out_seq sparseone


            seq_use:Nn l__eagleone_sparsematrix_row_out_seq & \


            ExplSyntaxOff

            begindocument

            [
            beginpmatrix
            0 & 1 & 0 \
            1 & 0 & 1 \
            0 & 1 & 0
            endpmatrix
            =
            beginsparsematrix
            0 & 1 & 0 \
            1 & 0 & 1 \
            0 & 1 & 0
            endsparsematrix
            ]

            [
            beginsparsematrix
            0 & 1 & 0 \
            1 & 0 & 1 \
            0 & 1 & 0
            endsparsematrix^2
            =
            beginsparsematrix
            1 & 0 & 1 \
            0 & 2 & 0 \
            1 & 0 & 1
            endsparsematrix
            ]

            enddocument


            enter image description here






            share|improve this answer


















            • 1





              For my humble opinion: excellent. +1.

              – Sebastiano
              7 hours ago













            4












            4








            4







            With a fairly natural syntax:



            documentclassarticle
            usepackageamsmath

            newlengthsparsesize
            setlengthsparsesize12pt

            newcommandsparsezero%
            begingroup
            setlengthfboxsep-0.2pt%
            setlengthfboxrule0.2pt%
            fboxhspacesparsesizerule0ptsparsesize%
            endgroup

            newcommandsparseonerulesparsesizesparsesize
            newcommandactivate[2]%
            begingrouplccode`~=`#1lowercaseendgrouplet~#2%
            mathcode`#1="8000


            newenvironmentsparsematrix
            %
            renewcommandarraystretch0%
            setlengtharraycolsep0pt%
            activate0sparsezeroactivate1sparseone%
            beginmatrix%

            endmatrix

            begindocument

            [
            beginpmatrix
            0 & 1 & 0 \
            1 & 0 & 1 \
            0 & 1 & 0
            endpmatrix
            =
            beginsparsematrix
            0 & 1 & 0 \
            1 & 0 & 1 \
            0 & 1 & 0
            endsparsematrix
            ]

            enddocument


            enter image description here



            For general matrices with integer coefficients it's a bit more difficult.



            documentclassarticle
            usepackageamsmath,xparse

            newlengthsparsesize
            setlengthsparsesize12pt
            newcommandsparsezero%
            begingroup
            setlengthfboxsep-0.2pt%
            setlengthfboxrule0.2pt%
            fboxhspacesparsesizerule0ptsparsesize%
            endgroup

            newcommandsparseonerulesparsesizesparsesize

            ExplSyntaxOn
            NewDocumentEnvironmentsparsematrixb

            renewcommandarraystretch0%
            setlengtharraycolsep0pt%
            % make a subformula
            beginmatrix
            eagleone_sparsematrix:n #1
            endmatrix



            seq_new:N l__eagleone_sparsematrix_rows_seq
            seq_new:N l__eagleone_sparsematrix_row_in_seq
            seq_new:N l__eagleone_sparsematrix_row_out_seq

            cs_new_protected:Nn eagleone_sparsematrix:n

            seq_set_split:Nnn l__eagleone_sparsematrix_rows_seq \ #1
            seq_map_function:NN l__eagleone_sparsematrix_rows_seq __eagleone_sparsematrix_row:n

            cs_new_protected:Nn __eagleone_sparsematrix_row:n

            seq_set_split:Nnn l__eagleone_sparsematrix_row_in_seq & #1
            seq_map_inline:Nn l__eagleone_sparsematrix_row_in_seq

            int_compare:nTF ##1 = 0

            seq_put_right:Nn l__eagleone_sparsematrix_row_out_seq sparsezero


            seq_put_right:Nn l__eagleone_sparsematrix_row_out_seq sparseone


            seq_use:Nn l__eagleone_sparsematrix_row_out_seq & \


            ExplSyntaxOff

            begindocument

            [
            beginpmatrix
            0 & 1 & 0 \
            1 & 0 & 1 \
            0 & 1 & 0
            endpmatrix
            =
            beginsparsematrix
            0 & 1 & 0 \
            1 & 0 & 1 \
            0 & 1 & 0
            endsparsematrix
            ]

            [
            beginsparsematrix
            0 & 1 & 0 \
            1 & 0 & 1 \
            0 & 1 & 0
            endsparsematrix^2
            =
            beginsparsematrix
            1 & 0 & 1 \
            0 & 2 & 0 \
            1 & 0 & 1
            endsparsematrix
            ]

            enddocument


            enter image description here






            share|improve this answer













            With a fairly natural syntax:



            documentclassarticle
            usepackageamsmath

            newlengthsparsesize
            setlengthsparsesize12pt

            newcommandsparsezero%
            begingroup
            setlengthfboxsep-0.2pt%
            setlengthfboxrule0.2pt%
            fboxhspacesparsesizerule0ptsparsesize%
            endgroup

            newcommandsparseonerulesparsesizesparsesize
            newcommandactivate[2]%
            begingrouplccode`~=`#1lowercaseendgrouplet~#2%
            mathcode`#1="8000


            newenvironmentsparsematrix
            %
            renewcommandarraystretch0%
            setlengtharraycolsep0pt%
            activate0sparsezeroactivate1sparseone%
            beginmatrix%

            endmatrix

            begindocument

            [
            beginpmatrix
            0 & 1 & 0 \
            1 & 0 & 1 \
            0 & 1 & 0
            endpmatrix
            =
            beginsparsematrix
            0 & 1 & 0 \
            1 & 0 & 1 \
            0 & 1 & 0
            endsparsematrix
            ]

            enddocument


            enter image description here



            For general matrices with integer coefficients it's a bit more difficult.



            documentclassarticle
            usepackageamsmath,xparse

            newlengthsparsesize
            setlengthsparsesize12pt
            newcommandsparsezero%
            begingroup
            setlengthfboxsep-0.2pt%
            setlengthfboxrule0.2pt%
            fboxhspacesparsesizerule0ptsparsesize%
            endgroup

            newcommandsparseonerulesparsesizesparsesize

            ExplSyntaxOn
            NewDocumentEnvironmentsparsematrixb

            renewcommandarraystretch0%
            setlengtharraycolsep0pt%
            % make a subformula
            beginmatrix
            eagleone_sparsematrix:n #1
            endmatrix



            seq_new:N l__eagleone_sparsematrix_rows_seq
            seq_new:N l__eagleone_sparsematrix_row_in_seq
            seq_new:N l__eagleone_sparsematrix_row_out_seq

            cs_new_protected:Nn eagleone_sparsematrix:n

            seq_set_split:Nnn l__eagleone_sparsematrix_rows_seq \ #1
            seq_map_function:NN l__eagleone_sparsematrix_rows_seq __eagleone_sparsematrix_row:n

            cs_new_protected:Nn __eagleone_sparsematrix_row:n

            seq_set_split:Nnn l__eagleone_sparsematrix_row_in_seq & #1
            seq_map_inline:Nn l__eagleone_sparsematrix_row_in_seq

            int_compare:nTF ##1 = 0

            seq_put_right:Nn l__eagleone_sparsematrix_row_out_seq sparsezero


            seq_put_right:Nn l__eagleone_sparsematrix_row_out_seq sparseone


            seq_use:Nn l__eagleone_sparsematrix_row_out_seq & \


            ExplSyntaxOff

            begindocument

            [
            beginpmatrix
            0 & 1 & 0 \
            1 & 0 & 1 \
            0 & 1 & 0
            endpmatrix
            =
            beginsparsematrix
            0 & 1 & 0 \
            1 & 0 & 1 \
            0 & 1 & 0
            endsparsematrix
            ]

            [
            beginsparsematrix
            0 & 1 & 0 \
            1 & 0 & 1 \
            0 & 1 & 0
            endsparsematrix^2
            =
            beginsparsematrix
            1 & 0 & 1 \
            0 & 2 & 0 \
            1 & 0 & 1
            endsparsematrix
            ]

            enddocument


            enter image description here







            share|improve this answer












            share|improve this answer



            share|improve this answer










            answered 7 hours ago









            egregegreg

            745k8919513290




            745k8919513290







            • 1





              For my humble opinion: excellent. +1.

              – Sebastiano
              7 hours ago












            • 1





              For my humble opinion: excellent. +1.

              – Sebastiano
              7 hours ago







            1




            1





            For my humble opinion: excellent. +1.

            – Sebastiano
            7 hours ago





            For my humble opinion: excellent. +1.

            – Sebastiano
            7 hours ago

















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