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How do I partition a matrx into blocks and replace zeros with dots?


How to typeset block matrices?Specific blockmatricesMatrix in a matrixBrace and Array with frac and cos, HeightMatrix looks flatWhat's the best way to write matrix together with its dimensions on top and left?Curly braces in arraysleft and right with arrayVertically align padded matrix with different rowsShrinking the size of a labeled matrix using a block array













6















I am using this command



beginequation 
W = left(
beginarrayccccccccc
1 & 0 & 0 & 0 & -1 & 0 & 0 & 0 & -1 \
0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 \
0 & 0 & 1 & 0 & 0 & 0 & 0 & 0 & 0 \
0 & 0 & 0 & 1 & 0 & 0 & 0 & 0 & 0 \
-1 & 0 & 0 & 0 & 1 & 0 & 0 & 0 & -1 \
0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 \
0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 \
0 & 0 & 0 & 0 & 0 & 0 & 0 & 1 & 0 \
-1 & 0 & 0 & 0 & -1 & 0 & 0 & 0 & 1 \
endarray
right)
endequation


to display a 9x9 matrix.



I would like to show this matrix as partitioned into 3x3 blocks, and also the zeros replaced with dots.










share|improve this question




























    6















    I am using this command



    beginequation 
    W = left(
    beginarrayccccccccc
    1 & 0 & 0 & 0 & -1 & 0 & 0 & 0 & -1 \
    0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 \
    0 & 0 & 1 & 0 & 0 & 0 & 0 & 0 & 0 \
    0 & 0 & 0 & 1 & 0 & 0 & 0 & 0 & 0 \
    -1 & 0 & 0 & 0 & 1 & 0 & 0 & 0 & -1 \
    0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 \
    0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 \
    0 & 0 & 0 & 0 & 0 & 0 & 0 & 1 & 0 \
    -1 & 0 & 0 & 0 & -1 & 0 & 0 & 0 & 1 \
    endarray
    right)
    endequation


    to display a 9x9 matrix.



    I would like to show this matrix as partitioned into 3x3 blocks, and also the zeros replaced with dots.










    share|improve this question


























      6












      6








      6


      1






      I am using this command



      beginequation 
      W = left(
      beginarrayccccccccc
      1 & 0 & 0 & 0 & -1 & 0 & 0 & 0 & -1 \
      0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 \
      0 & 0 & 1 & 0 & 0 & 0 & 0 & 0 & 0 \
      0 & 0 & 0 & 1 & 0 & 0 & 0 & 0 & 0 \
      -1 & 0 & 0 & 0 & 1 & 0 & 0 & 0 & -1 \
      0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 \
      0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 \
      0 & 0 & 0 & 0 & 0 & 0 & 0 & 1 & 0 \
      -1 & 0 & 0 & 0 & -1 & 0 & 0 & 0 & 1 \
      endarray
      right)
      endequation


      to display a 9x9 matrix.



      I would like to show this matrix as partitioned into 3x3 blocks, and also the zeros replaced with dots.










      share|improve this question
















      I am using this command



      beginequation 
      W = left(
      beginarrayccccccccc
      1 & 0 & 0 & 0 & -1 & 0 & 0 & 0 & -1 \
      0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 \
      0 & 0 & 1 & 0 & 0 & 0 & 0 & 0 & 0 \
      0 & 0 & 0 & 1 & 0 & 0 & 0 & 0 & 0 \
      -1 & 0 & 0 & 0 & 1 & 0 & 0 & 0 & -1 \
      0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 \
      0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 \
      0 & 0 & 0 & 0 & 0 & 0 & 0 & 1 & 0 \
      -1 & 0 & 0 & 0 & -1 & 0 & 0 & 0 & 1 \
      endarray
      right)
      endequation


      to display a 9x9 matrix.



      I would like to show this matrix as partitioned into 3x3 blocks, and also the zeros replaced with dots.







      matrices arrays






      share|improve this question















      share|improve this question













      share|improve this question




      share|improve this question








      edited May 24 at 19:56







      Paul B. Slater

















      asked May 24 at 12:44









      Paul B. SlaterPaul B. Slater

      229313




      229313




















          2 Answers
          2






          active

          oldest

          votes


















          6














          Doing a “search and replace” would not be a big problem, but if there's a dirty trick available…



          documentclassarticle
          usepackageamsmath

          begindocument
          beginequation
          W = left(mathcode`0=cdot
          beginarray *3c
          1 & 0 & 0 & 0 & -1 & 0 & 0 & 0 & -1 \
          0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 \
          0 & 0 & 1 & 0 & 0 & 0 & 0 & 0 & 0 \hline
          0 & 0 & 0 & 1 & 0 & 0 & 0 & 0 & 0 \
          -1 & 0 & 0 & 0 & 1 & 0 & 0 & 0 & -1 \
          0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 \ hline
          0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 \
          0 & 0 & 0 & 0 & 0 & 0 & 0 & 1 & 0 \
          -1 & 0 & 0 & 0 & -1 & 0 & 0 & 0 & 1 \
          endarray
          right)
          endequation
          enddocument


          enter image description here



          For the duration of the group initiate by left(, I'm telling TeX that 0 in math mode (that is, in every cell) should be interpreted as cdot.






          share|improve this answer























          • Your answers are always elegant. My upvote.

            – Sebastiano
            May 24 at 15:37











          • Thanks! I got this to work--but not entirely so, trying to adapt it to a 16 x 16 into 4 x 4 blocks, as just added to my original question.

            – Paul B. Slater
            May 24 at 19:25











          • My apologies--I have to add the hline commands--which I hadn't noticed before--so I'll delete that addendum to my question.

            – Paul B. Slater
            May 24 at 19:54


















          5














          You can use string replacement within LaTeX (xstring and collcell packages). For the blocks, I use dashed lines from arydshln (: in header and hdashline in rows).



          documentclassarticle
          usepackagearray,arydshln
          usepackagexstring,collcell

          newcommandToDot[1]StrSubstitute#10cdot

          begindocument
          beginequation
          W = left(
          beginarray *3>collectcellToDotc<endcollectcell :
          *3>collectcellToDotc<endcollectcell :
          *3>collectcellToDotc<endcollectcell
          1 & 0 & 0 & 0 & -1 & 0 & 0 & 0 & -1 \
          0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 \
          0 & 0 & 1 & 0 & 0 & 0 & 0 & 0 & 0 \hdashline
          0 & 0 & 0 & 1 & 0 & 0 & 0 & 0 & 0 \
          -1 & 0 & 0 & 0 & 1 & 0 & 0 & 0 & -1 \
          0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 \ hdashline
          0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 \
          0 & 0 & 0 & 0 & 0 & 0 & 0 & 1 & 0 \
          -1 & 0 & 0 & 0 & -1 & 0 & 0 & 0 & 1 \
          endarray
          right)
          endequation
          enddocument


          enter image description here






          share|improve this answer

























          • Very nice and my compliments.

            – Sebastiano
            May 24 at 15:37











          Your Answer








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          2 Answers
          2






          active

          oldest

          votes








          2 Answers
          2






          active

          oldest

          votes









          active

          oldest

          votes






          active

          oldest

          votes









          6














          Doing a “search and replace” would not be a big problem, but if there's a dirty trick available…



          documentclassarticle
          usepackageamsmath

          begindocument
          beginequation
          W = left(mathcode`0=cdot
          beginarray *3c
          1 & 0 & 0 & 0 & -1 & 0 & 0 & 0 & -1 \
          0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 \
          0 & 0 & 1 & 0 & 0 & 0 & 0 & 0 & 0 \hline
          0 & 0 & 0 & 1 & 0 & 0 & 0 & 0 & 0 \
          -1 & 0 & 0 & 0 & 1 & 0 & 0 & 0 & -1 \
          0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 \ hline
          0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 \
          0 & 0 & 0 & 0 & 0 & 0 & 0 & 1 & 0 \
          -1 & 0 & 0 & 0 & -1 & 0 & 0 & 0 & 1 \
          endarray
          right)
          endequation
          enddocument


          enter image description here



          For the duration of the group initiate by left(, I'm telling TeX that 0 in math mode (that is, in every cell) should be interpreted as cdot.






          share|improve this answer























          • Your answers are always elegant. My upvote.

            – Sebastiano
            May 24 at 15:37











          • Thanks! I got this to work--but not entirely so, trying to adapt it to a 16 x 16 into 4 x 4 blocks, as just added to my original question.

            – Paul B. Slater
            May 24 at 19:25











          • My apologies--I have to add the hline commands--which I hadn't noticed before--so I'll delete that addendum to my question.

            – Paul B. Slater
            May 24 at 19:54















          6














          Doing a “search and replace” would not be a big problem, but if there's a dirty trick available…



          documentclassarticle
          usepackageamsmath

          begindocument
          beginequation
          W = left(mathcode`0=cdot
          beginarray *3c
          1 & 0 & 0 & 0 & -1 & 0 & 0 & 0 & -1 \
          0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 \
          0 & 0 & 1 & 0 & 0 & 0 & 0 & 0 & 0 \hline
          0 & 0 & 0 & 1 & 0 & 0 & 0 & 0 & 0 \
          -1 & 0 & 0 & 0 & 1 & 0 & 0 & 0 & -1 \
          0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 \ hline
          0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 \
          0 & 0 & 0 & 0 & 0 & 0 & 0 & 1 & 0 \
          -1 & 0 & 0 & 0 & -1 & 0 & 0 & 0 & 1 \
          endarray
          right)
          endequation
          enddocument


          enter image description here



          For the duration of the group initiate by left(, I'm telling TeX that 0 in math mode (that is, in every cell) should be interpreted as cdot.






          share|improve this answer























          • Your answers are always elegant. My upvote.

            – Sebastiano
            May 24 at 15:37











          • Thanks! I got this to work--but not entirely so, trying to adapt it to a 16 x 16 into 4 x 4 blocks, as just added to my original question.

            – Paul B. Slater
            May 24 at 19:25











          • My apologies--I have to add the hline commands--which I hadn't noticed before--so I'll delete that addendum to my question.

            – Paul B. Slater
            May 24 at 19:54













          6












          6








          6







          Doing a “search and replace” would not be a big problem, but if there's a dirty trick available…



          documentclassarticle
          usepackageamsmath

          begindocument
          beginequation
          W = left(mathcode`0=cdot
          beginarray *3c
          1 & 0 & 0 & 0 & -1 & 0 & 0 & 0 & -1 \
          0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 \
          0 & 0 & 1 & 0 & 0 & 0 & 0 & 0 & 0 \hline
          0 & 0 & 0 & 1 & 0 & 0 & 0 & 0 & 0 \
          -1 & 0 & 0 & 0 & 1 & 0 & 0 & 0 & -1 \
          0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 \ hline
          0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 \
          0 & 0 & 0 & 0 & 0 & 0 & 0 & 1 & 0 \
          -1 & 0 & 0 & 0 & -1 & 0 & 0 & 0 & 1 \
          endarray
          right)
          endequation
          enddocument


          enter image description here



          For the duration of the group initiate by left(, I'm telling TeX that 0 in math mode (that is, in every cell) should be interpreted as cdot.






          share|improve this answer













          Doing a “search and replace” would not be a big problem, but if there's a dirty trick available…



          documentclassarticle
          usepackageamsmath

          begindocument
          beginequation
          W = left(mathcode`0=cdot
          beginarray *3c
          1 & 0 & 0 & 0 & -1 & 0 & 0 & 0 & -1 \
          0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 \
          0 & 0 & 1 & 0 & 0 & 0 & 0 & 0 & 0 \hline
          0 & 0 & 0 & 1 & 0 & 0 & 0 & 0 & 0 \
          -1 & 0 & 0 & 0 & 1 & 0 & 0 & 0 & -1 \
          0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 \ hline
          0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 \
          0 & 0 & 0 & 0 & 0 & 0 & 0 & 1 & 0 \
          -1 & 0 & 0 & 0 & -1 & 0 & 0 & 0 & 1 \
          endarray
          right)
          endequation
          enddocument


          enter image description here



          For the duration of the group initiate by left(, I'm telling TeX that 0 in math mode (that is, in every cell) should be interpreted as cdot.







          share|improve this answer












          share|improve this answer



          share|improve this answer










          answered May 24 at 14:15









          egregegreg

          747k8919543295




          747k8919543295












          • Your answers are always elegant. My upvote.

            – Sebastiano
            May 24 at 15:37











          • Thanks! I got this to work--but not entirely so, trying to adapt it to a 16 x 16 into 4 x 4 blocks, as just added to my original question.

            – Paul B. Slater
            May 24 at 19:25











          • My apologies--I have to add the hline commands--which I hadn't noticed before--so I'll delete that addendum to my question.

            – Paul B. Slater
            May 24 at 19:54

















          • Your answers are always elegant. My upvote.

            – Sebastiano
            May 24 at 15:37











          • Thanks! I got this to work--but not entirely so, trying to adapt it to a 16 x 16 into 4 x 4 blocks, as just added to my original question.

            – Paul B. Slater
            May 24 at 19:25











          • My apologies--I have to add the hline commands--which I hadn't noticed before--so I'll delete that addendum to my question.

            – Paul B. Slater
            May 24 at 19:54
















          Your answers are always elegant. My upvote.

          – Sebastiano
          May 24 at 15:37





          Your answers are always elegant. My upvote.

          – Sebastiano
          May 24 at 15:37













          Thanks! I got this to work--but not entirely so, trying to adapt it to a 16 x 16 into 4 x 4 blocks, as just added to my original question.

          – Paul B. Slater
          May 24 at 19:25





          Thanks! I got this to work--but not entirely so, trying to adapt it to a 16 x 16 into 4 x 4 blocks, as just added to my original question.

          – Paul B. Slater
          May 24 at 19:25













          My apologies--I have to add the hline commands--which I hadn't noticed before--so I'll delete that addendum to my question.

          – Paul B. Slater
          May 24 at 19:54





          My apologies--I have to add the hline commands--which I hadn't noticed before--so I'll delete that addendum to my question.

          – Paul B. Slater
          May 24 at 19:54











          5














          You can use string replacement within LaTeX (xstring and collcell packages). For the blocks, I use dashed lines from arydshln (: in header and hdashline in rows).



          documentclassarticle
          usepackagearray,arydshln
          usepackagexstring,collcell

          newcommandToDot[1]StrSubstitute#10cdot

          begindocument
          beginequation
          W = left(
          beginarray *3>collectcellToDotc<endcollectcell :
          *3>collectcellToDotc<endcollectcell :
          *3>collectcellToDotc<endcollectcell
          1 & 0 & 0 & 0 & -1 & 0 & 0 & 0 & -1 \
          0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 \
          0 & 0 & 1 & 0 & 0 & 0 & 0 & 0 & 0 \hdashline
          0 & 0 & 0 & 1 & 0 & 0 & 0 & 0 & 0 \
          -1 & 0 & 0 & 0 & 1 & 0 & 0 & 0 & -1 \
          0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 \ hdashline
          0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 \
          0 & 0 & 0 & 0 & 0 & 0 & 0 & 1 & 0 \
          -1 & 0 & 0 & 0 & -1 & 0 & 0 & 0 & 1 \
          endarray
          right)
          endequation
          enddocument


          enter image description here






          share|improve this answer

























          • Very nice and my compliments.

            – Sebastiano
            May 24 at 15:37















          5














          You can use string replacement within LaTeX (xstring and collcell packages). For the blocks, I use dashed lines from arydshln (: in header and hdashline in rows).



          documentclassarticle
          usepackagearray,arydshln
          usepackagexstring,collcell

          newcommandToDot[1]StrSubstitute#10cdot

          begindocument
          beginequation
          W = left(
          beginarray *3>collectcellToDotc<endcollectcell :
          *3>collectcellToDotc<endcollectcell :
          *3>collectcellToDotc<endcollectcell
          1 & 0 & 0 & 0 & -1 & 0 & 0 & 0 & -1 \
          0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 \
          0 & 0 & 1 & 0 & 0 & 0 & 0 & 0 & 0 \hdashline
          0 & 0 & 0 & 1 & 0 & 0 & 0 & 0 & 0 \
          -1 & 0 & 0 & 0 & 1 & 0 & 0 & 0 & -1 \
          0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 \ hdashline
          0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 \
          0 & 0 & 0 & 0 & 0 & 0 & 0 & 1 & 0 \
          -1 & 0 & 0 & 0 & -1 & 0 & 0 & 0 & 1 \
          endarray
          right)
          endequation
          enddocument


          enter image description here






          share|improve this answer

























          • Very nice and my compliments.

            – Sebastiano
            May 24 at 15:37













          5












          5








          5







          You can use string replacement within LaTeX (xstring and collcell packages). For the blocks, I use dashed lines from arydshln (: in header and hdashline in rows).



          documentclassarticle
          usepackagearray,arydshln
          usepackagexstring,collcell

          newcommandToDot[1]StrSubstitute#10cdot

          begindocument
          beginequation
          W = left(
          beginarray *3>collectcellToDotc<endcollectcell :
          *3>collectcellToDotc<endcollectcell :
          *3>collectcellToDotc<endcollectcell
          1 & 0 & 0 & 0 & -1 & 0 & 0 & 0 & -1 \
          0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 \
          0 & 0 & 1 & 0 & 0 & 0 & 0 & 0 & 0 \hdashline
          0 & 0 & 0 & 1 & 0 & 0 & 0 & 0 & 0 \
          -1 & 0 & 0 & 0 & 1 & 0 & 0 & 0 & -1 \
          0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 \ hdashline
          0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 \
          0 & 0 & 0 & 0 & 0 & 0 & 0 & 1 & 0 \
          -1 & 0 & 0 & 0 & -1 & 0 & 0 & 0 & 1 \
          endarray
          right)
          endequation
          enddocument


          enter image description here






          share|improve this answer















          You can use string replacement within LaTeX (xstring and collcell packages). For the blocks, I use dashed lines from arydshln (: in header and hdashline in rows).



          documentclassarticle
          usepackagearray,arydshln
          usepackagexstring,collcell

          newcommandToDot[1]StrSubstitute#10cdot

          begindocument
          beginequation
          W = left(
          beginarray *3>collectcellToDotc<endcollectcell :
          *3>collectcellToDotc<endcollectcell :
          *3>collectcellToDotc<endcollectcell
          1 & 0 & 0 & 0 & -1 & 0 & 0 & 0 & -1 \
          0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 \
          0 & 0 & 1 & 0 & 0 & 0 & 0 & 0 & 0 \hdashline
          0 & 0 & 0 & 1 & 0 & 0 & 0 & 0 & 0 \
          -1 & 0 & 0 & 0 & 1 & 0 & 0 & 0 & -1 \
          0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 \ hdashline
          0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 \
          0 & 0 & 0 & 0 & 0 & 0 & 0 & 1 & 0 \
          -1 & 0 & 0 & 0 & -1 & 0 & 0 & 0 & 1 \
          endarray
          right)
          endequation
          enddocument


          enter image description here







          share|improve this answer














          share|improve this answer



          share|improve this answer








          edited May 24 at 13:57









          Zarko

          137k872180




          137k872180










          answered May 24 at 13:19









          ebcontrolebcontrol

          807




          807












          • Very nice and my compliments.

            – Sebastiano
            May 24 at 15:37

















          • Very nice and my compliments.

            – Sebastiano
            May 24 at 15:37
















          Very nice and my compliments.

          – Sebastiano
          May 24 at 15:37





          Very nice and my compliments.

          – Sebastiano
          May 24 at 15:37

















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