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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

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.

edited May 24 at 19:56

asked May 24 at 12:44

Paul B. Slater

229313

add a comment |

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.

edited May 24 at 19:56

asked May 24 at 12:44

Paul B. Slater

229313

add a comment |

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.

edited May 24 at 19:56

asked May 24 at 12:44

Paul B. Slater

229313

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

edited May 24 at 19:56

asked May 24 at 12:44

Paul B. Slater

229313

edited May 24 at 19:56

asked May 24 at 12:44

Paul B. Slater

229313

edited May 24 at 19:56

asked May 24 at 12:44

Paul B. Slater

229313

asked May 24 at 12:44

Paul B. Slater

229313

asked May 24 at 12:44

Paul B. Slater

229313

add a comment |

2 Answers
2

active

oldest

votes

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.

answered May 24 at 14:15

egreg

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

add a comment |

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

edited May 24 at 13:57

Zarko

137k872180

answered May 24 at 13:19

ebcontrol

807

Very nice and my compliments.

– Sebastiano
May 24 at 15:37

add a comment |

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2 Answers
2

active

oldest

votes

2 Answers
2

active

oldest

votes

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.

answered May 24 at 14:15

egreg

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

add a comment |

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.

answered May 24 at 14:15

egreg

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

add a comment |

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.

answered May 24 at 14:15

egreg

747k8919543295

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.

answered May 24 at 14:15

egreg

747k8919543295

answered May 24 at 14:15

egreg

747k8919543295

answered May 24 at 14:15

egreg

747k8919543295

answered May 24 at 14:15

egreg

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

add a comment |

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

add a comment |

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

edited May 24 at 13:57

Zarko

137k872180

answered May 24 at 13:19

ebcontrol

807

Very nice and my compliments.

– Sebastiano
May 24 at 15:37

add a comment |

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

edited May 24 at 13:57

Zarko

137k872180

answered May 24 at 13:19

ebcontrol

807

Very nice and my compliments.

– Sebastiano
May 24 at 15:37

add a comment |

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

edited May 24 at 13:57

Zarko

137k872180

answered May 24 at 13:19

ebcontrol

807

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

edited May 24 at 13:57

Zarko

137k872180

answered May 24 at 13:19

ebcontrol

807

edited May 24 at 13:57

Zarko

137k872180

edited May 24 at 13:57

Zarko

137k872180

edited May 24 at 13:57

Zarko

137k872180

answered May 24 at 13:19

ebcontrol

807

answered May 24 at 13:19

ebcontrol

807

answered May 24 at 13:19

ebcontrol

807

Very nice and my compliments.

– Sebastiano
May 24 at 15:37

add a comment |

Very nice and my compliments.

– Sebastiano
May 24 at 15:37

Very nice and my compliments.

– Sebastiano
May 24 at 15:37

add a comment |

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