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bmatrix: how to align elements' subscripts?

Smaller matrices (or other math elements) in displayed mathequation labels inside a nested align and aligned environmentHow to Correct Entries in a Matrix Going Beyond Delimiters Using fourierncLeft aligning equations without align characterHow to align two equation arrays when combined with lateral bracesVertical space in bmatrixAlign multiple numbered aligned blocksHow can I align math in table across regular and multirow cells?Aligned within align: Why are they right-aligned?Problems with align* environment

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4

For example with the code below:

beginbmatrix
mathbfP^-_k & mathbfC_k\
mathbfC_k & mathbfS_k
endbmatrix

you will get a result looking like this:

It is apparent that those subscripts k in the matrix are not aligned both horizontally and vertically

How to properly align those subscripts in bmatrix environment?

Or are there any other matrix environments could cope with this well?

equations align matrices subscripts

share|improve this question

edited Jun 6 at 13:08

Nathan Explosion

asked Jun 6 at 12:34

Nathan ExplosionNathan Explosion

16411 silver badge77 bronze badges

• 
  
  
  

  
  

  
  
  
  
  
  

  
  
  For the vertical alignment of the subscripts, add ^ to the entries that have no superscript. About the horizontal alignment, I'm not seeing it's necessary, as all the terms have different widths..
  
  – egreg
  Jun 6 at 13:47
  

  
  
  
  

add a comment | 

4

For example with the code below:

beginbmatrix
mathbfP^-_k & mathbfC_k\
mathbfC_k & mathbfS_k
endbmatrix

you will get a result looking like this:

It is apparent that those subscripts k in the matrix are not aligned both horizontally and vertically

How to properly align those subscripts in bmatrix environment?

Or are there any other matrix environments could cope with this well?

equations align matrices subscripts

share|improve this question

edited Jun 6 at 13:08

Nathan Explosion

asked Jun 6 at 12:34

Nathan ExplosionNathan Explosion

16411 silver badge77 bronze badges

• 
  
  
  

  
  

  
  
  
  
  
  

  
  
  For the vertical alignment of the subscripts, add ^ to the entries that have no superscript. About the horizontal alignment, I'm not seeing it's necessary, as all the terms have different widths..
  
  – egreg
  Jun 6 at 13:47
  

  
  
  
  

add a comment | 

For example with the code below:

beginbmatrix
mathbfP^-_k & mathbfC_k\
mathbfC_k & mathbfS_k
endbmatrix

you will get a result looking like this:

It is apparent that those subscripts k in the matrix are not aligned both horizontally and vertically

How to properly align those subscripts in bmatrix environment?

Or are there any other matrix environments could cope with this well?

equations align matrices subscripts

share|improve this question

edited Jun 6 at 13:08

Nathan Explosion

asked Jun 6 at 12:34

Nathan ExplosionNathan Explosion

16411 silver badge77 bronze badges

beginbmatrix
mathbfP^-_k & mathbfC_k\
mathbfC_k & mathbfS_k
endbmatrix

share|improve this question

edited Jun 6 at 13:08

Nathan Explosion

asked Jun 6 at 12:34

Nathan ExplosionNathan Explosion

16411 silver badge77 bronze badges

share|improve this question

edited Jun 6 at 13:08

Nathan Explosion

asked Jun 6 at 12:34

Nathan ExplosionNathan Explosion

16411 silver badge77 bronze badges

asked Jun 6 at 12:34

Nathan ExplosionNathan Explosion

16411 silver badge77 bronze badges

asked Jun 6 at 12:34

Nathan ExplosionNathan Explosion

16411 silver badge77 bronze badges

3 Answers
3

active

oldest

votes

5

To align the 4 terms on their subscripts, I suggest you combine a bmatrix*[r] environment (provided by the mathtools package) with a mathrlap- instruction (also provided by the mathtools package).

Update: to perform vertical alignment of the k subscripts in the first row, I suggest you provide add a vphantom- superscript term to mathbfC_k term in the upper-right cell.

The result of the adjustments is shown in the lower matrix:

documentclassarticle
usepackagemathtools % for bmatrix* env. and mathrlap macro
begindocument
[
beginbmatrix
mathbfP^-_k & mathbfC_k \
mathbfC_k & mathbfS_k
endbmatrix
]

[
beginbmatrix*[r]
mathbfP^mathrlap-_k & mathbfC^vphantom-_k \
mathbfC_k & mathbfS_k
endbmatrix*
]
enddocument

share|improve this answer

edited Jun 6 at 13:15

answered Jun 6 at 13:06

MicoMico

294k3232 gold badges407407 silver badges798798 bronze badges

• 
  
  
  

  
  

  
  
  
  
  
  

  
  
  Thank you, but it seems that they only align in vertical direction?
  
  – Nathan Explosion
  Jun 6 at 13:09
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  
  @NathanExplosion - Please see my updated answer.
  
  – Mico
  Jun 6 at 13:15
  

  
  
  
  

add a comment | 

4

Here are two possibilities:

documentclassarticle
usepackageamsmath

begindocument
[
 beginbmatrix
 mathbfP^-_k & mathbfC^vphantom-_k\
 mathbfC_k & mathbfS_k
 endbmatrix
 beginbmatrix
 mathbfP_kllap$^-mkern -3mu$ & mathbfC_k\
 mathbfC_k & mathbfS_k
 endbmatrix
]
enddocument

Note: the second method uses manual adjustment for the horizontal position of the minus exponent (see the mkern -3mu).

share|improve this answer

edited Jun 6 at 14:09

answered Jun 6 at 12:48

frougonfrougon

3,63011 gold badge99 silver badges1818 bronze badges

• 
  
  
  

  
  

  
  
  
  
  
  

  
  
  Two flaws in the update: The minus isn't at the same vertical position, and in the second column, the subscripts aren't at the same horizontal position.
  
  – barbara beeton
  Jun 6 at 13:58
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  
  @barbarabeeton I've fixed the first matrix, thanks. Concerning your remark on the minus sign, the two matrices are independent solutions, so I don't understand really the problem: I consider that it is an editorial choice to make: either you keep the minus superscript in its normal place and adjust the (1,2) matrix element to behave as if it had an invisible similar superscript (first solution), or you write the (1,1) element as if it had no superscript and manually add the minus in superscript position in a way that doesn't push the subscript downward (second solution).
  
  – frougon
  Jun 6 at 14:15
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  
  @barbarabeeton: My answer only adresses alignment of the subscripts on a horizontal line because it was written before the OP modified its question to add “both horizontally and vertically.” (and I consider it a bit extreme to ask for alignment of subscripts on a vertical line: if you align the k's, then something else is necessarily going to be “wrong”: either the spacing between C or S and k, or the alignment of S and C on a vertical line)
  
  – frougon
  Jun 6 at 14:18
  
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  
  @frougon@barbarabeeton yes, I've edited the question, sorry for the confusion.
  
  – Nathan Explosion
  Jun 7 at 7:23
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  
  @frougon My congratulations for the first gold medal.
  
  – Sebastiano
  8 hours ago
  

  
  
  
  

 | 
show 2 more comments

0

In this context I have finded an alternative using spalign package. The correct vertical alignment between the two column vectors of the matrix containing the subscripts k is guaranteed by mkern2mu and mkern-2mu.

documentclassarticle
usepackage[margin=2cm]geometry
usepackagemathtools
usepackagespalign

begindocument

[ spaligndelims[] spalignmat[l]mkern2mumathbfP^-_k mkern-2mumathbfC_k; mathbfC_k mathbfS_k ]
enddocument

share|improve this answer

answered 7 hours ago

SebastianoSebastiano

12.9k44 gold badges2525 silver badges7070 bronze badges

add a comment | 

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5

To align the 4 terms on their subscripts, I suggest you combine a bmatrix*[r] environment (provided by the mathtools package) with a mathrlap- instruction (also provided by the mathtools package).

Update: to perform vertical alignment of the k subscripts in the first row, I suggest you provide add a vphantom- superscript term to mathbfC_k term in the upper-right cell.

The result of the adjustments is shown in the lower matrix:

documentclassarticle
usepackagemathtools % for bmatrix* env. and mathrlap macro
begindocument
[
beginbmatrix
mathbfP^-_k & mathbfC_k \
mathbfC_k & mathbfS_k
endbmatrix
]

[
beginbmatrix*[r]
mathbfP^mathrlap-_k & mathbfC^vphantom-_k \
mathbfC_k & mathbfS_k
endbmatrix*
]
enddocument

share|improve this answer

edited Jun 6 at 13:15

answered Jun 6 at 13:06

MicoMico

294k3232 gold badges407407 silver badges798798 bronze badges

• 
  
  
  

  
  

  
  
  
  
  
  

  
  
  Thank you, but it seems that they only align in vertical direction?
  
  – Nathan Explosion
  Jun 6 at 13:09
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  
  @NathanExplosion - Please see my updated answer.
  
  – Mico
  Jun 6 at 13:15
  

  
  
  
  

add a comment | 

5

To align the 4 terms on their subscripts, I suggest you combine a bmatrix*[r] environment (provided by the mathtools package) with a mathrlap- instruction (also provided by the mathtools package).

Update: to perform vertical alignment of the k subscripts in the first row, I suggest you provide add a vphantom- superscript term to mathbfC_k term in the upper-right cell.

The result of the adjustments is shown in the lower matrix:

documentclassarticle
usepackagemathtools % for bmatrix* env. and mathrlap macro
begindocument
[
beginbmatrix
mathbfP^-_k & mathbfC_k \
mathbfC_k & mathbfS_k
endbmatrix
]

[
beginbmatrix*[r]
mathbfP^mathrlap-_k & mathbfC^vphantom-_k \
mathbfC_k & mathbfS_k
endbmatrix*
]
enddocument

share|improve this answer

edited Jun 6 at 13:15

answered Jun 6 at 13:06

MicoMico

294k3232 gold badges407407 silver badges798798 bronze badges

• 
  
  
  

  
  

  
  
  
  
  
  

  
  
  Thank you, but it seems that they only align in vertical direction?
  
  – Nathan Explosion
  Jun 6 at 13:09
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  
  @NathanExplosion - Please see my updated answer.
  
  – Mico
  Jun 6 at 13:15
  

  
  
  
  

add a comment | 

To align the 4 terms on their subscripts, I suggest you combine a bmatrix*[r] environment (provided by the mathtools package) with a mathrlap- instruction (also provided by the mathtools package).

Update: to perform vertical alignment of the k subscripts in the first row, I suggest you provide add a vphantom- superscript term to mathbfC_k term in the upper-right cell.

The result of the adjustments is shown in the lower matrix:

documentclassarticle
usepackagemathtools % for bmatrix* env. and mathrlap macro
begindocument
[
beginbmatrix
mathbfP^-_k & mathbfC_k \
mathbfC_k & mathbfS_k
endbmatrix
]

[
beginbmatrix*[r]
mathbfP^mathrlap-_k & mathbfC^vphantom-_k \
mathbfC_k & mathbfS_k
endbmatrix*
]
enddocument

share|improve this answer

edited Jun 6 at 13:15

answered Jun 6 at 13:06

MicoMico

294k3232 gold badges407407 silver badges798798 bronze badges

documentclassarticle
usepackagemathtools % for bmatrix* env. and mathrlap macro
begindocument
[
beginbmatrix
mathbfP^-_k & mathbfC_k \
mathbfC_k & mathbfS_k
endbmatrix
]

[
beginbmatrix*[r]
mathbfP^mathrlap-_k & mathbfC^vphantom-_k \
mathbfC_k & mathbfS_k
endbmatrix*
]
enddocument

share|improve this answer

edited Jun 6 at 13:15

answered Jun 6 at 13:06

MicoMico

294k3232 gold badges407407 silver badges798798 bronze badges

answered Jun 6 at 13:06

MicoMico

294k3232 gold badges407407 silver badges798798 bronze badges

answered Jun 6 at 13:06

MicoMico

294k3232 gold badges407407 silver badges798798 bronze badges

4

Here are two possibilities:

documentclassarticle
usepackageamsmath

begindocument
[
 beginbmatrix
 mathbfP^-_k & mathbfC^vphantom-_k\
 mathbfC_k & mathbfS_k
 endbmatrix
 beginbmatrix
 mathbfP_kllap$^-mkern -3mu$ & mathbfC_k\
 mathbfC_k & mathbfS_k
 endbmatrix
]
enddocument

Note: the second method uses manual adjustment for the horizontal position of the minus exponent (see the mkern -3mu).

share|improve this answer

edited Jun 6 at 14:09

answered Jun 6 at 12:48

frougonfrougon

3,63011 gold badge99 silver badges1818 bronze badges

• 
  
  
  

  
  

  
  
  
  
  
  

  
  
  Two flaws in the update: The minus isn't at the same vertical position, and in the second column, the subscripts aren't at the same horizontal position.
  
  – barbara beeton
  Jun 6 at 13:58
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  
  @barbarabeeton I've fixed the first matrix, thanks. Concerning your remark on the minus sign, the two matrices are independent solutions, so I don't understand really the problem: I consider that it is an editorial choice to make: either you keep the minus superscript in its normal place and adjust the (1,2) matrix element to behave as if it had an invisible similar superscript (first solution), or you write the (1,1) element as if it had no superscript and manually add the minus in superscript position in a way that doesn't push the subscript downward (second solution).
  
  – frougon
  Jun 6 at 14:15
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  
  @barbarabeeton: My answer only adresses alignment of the subscripts on a horizontal line because it was written before the OP modified its question to add “both horizontally and vertically.” (and I consider it a bit extreme to ask for alignment of subscripts on a vertical line: if you align the k's, then something else is necessarily going to be “wrong”: either the spacing between C or S and k, or the alignment of S and C on a vertical line)
  
  – frougon
  Jun 6 at 14:18
  
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  
  @frougon@barbarabeeton yes, I've edited the question, sorry for the confusion.
  
  – Nathan Explosion
  Jun 7 at 7:23
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  
  @frougon My congratulations for the first gold medal.
  
  – Sebastiano
  8 hours ago
  

  
  
  
  

 | 
show 2 more comments

4

Here are two possibilities:

documentclassarticle
usepackageamsmath

begindocument
[
 beginbmatrix
 mathbfP^-_k & mathbfC^vphantom-_k\
 mathbfC_k & mathbfS_k
 endbmatrix
 beginbmatrix
 mathbfP_kllap$^-mkern -3mu$ & mathbfC_k\
 mathbfC_k & mathbfS_k
 endbmatrix
]
enddocument

Note: the second method uses manual adjustment for the horizontal position of the minus exponent (see the mkern -3mu).

share|improve this answer

edited Jun 6 at 14:09

answered Jun 6 at 12:48

frougonfrougon

3,63011 gold badge99 silver badges1818 bronze badges

• 
  
  
  

  
  

  
  
  
  
  
  

  
  
  Two flaws in the update: The minus isn't at the same vertical position, and in the second column, the subscripts aren't at the same horizontal position.
  
  – barbara beeton
  Jun 6 at 13:58
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  
  @barbarabeeton I've fixed the first matrix, thanks. Concerning your remark on the minus sign, the two matrices are independent solutions, so I don't understand really the problem: I consider that it is an editorial choice to make: either you keep the minus superscript in its normal place and adjust the (1,2) matrix element to behave as if it had an invisible similar superscript (first solution), or you write the (1,1) element as if it had no superscript and manually add the minus in superscript position in a way that doesn't push the subscript downward (second solution).
  
  – frougon
  Jun 6 at 14:15
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  
  @barbarabeeton: My answer only adresses alignment of the subscripts on a horizontal line because it was written before the OP modified its question to add “both horizontally and vertically.” (and I consider it a bit extreme to ask for alignment of subscripts on a vertical line: if you align the k's, then something else is necessarily going to be “wrong”: either the spacing between C or S and k, or the alignment of S and C on a vertical line)
  
  – frougon
  Jun 6 at 14:18
  
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  
  @frougon@barbarabeeton yes, I've edited the question, sorry for the confusion.
  
  – Nathan Explosion
  Jun 7 at 7:23
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  
  @frougon My congratulations for the first gold medal.
  
  – Sebastiano
  8 hours ago
  

  
  
  
  

 | 
show 2 more comments

Here are two possibilities:

documentclassarticle
usepackageamsmath

begindocument
[
 beginbmatrix
 mathbfP^-_k & mathbfC^vphantom-_k\
 mathbfC_k & mathbfS_k
 endbmatrix
 beginbmatrix
 mathbfP_kllap$^-mkern -3mu$ & mathbfC_k\
 mathbfC_k & mathbfS_k
 endbmatrix
]
enddocument

Note: the second method uses manual adjustment for the horizontal position of the minus exponent (see the mkern -3mu).

share|improve this answer

edited Jun 6 at 14:09

answered Jun 6 at 12:48

frougonfrougon

3,63011 gold badge99 silver badges1818 bronze badges

documentclassarticle
usepackageamsmath

begindocument
[
 beginbmatrix
 mathbfP^-_k & mathbfC^vphantom-_k\
 mathbfC_k & mathbfS_k
 endbmatrix
 beginbmatrix
 mathbfP_kllap$^-mkern -3mu$ & mathbfC_k\
 mathbfC_k & mathbfS_k
 endbmatrix
]
enddocument

share|improve this answer

edited Jun 6 at 14:09

answered Jun 6 at 12:48

frougonfrougon

3,63011 gold badge99 silver badges1818 bronze badges

answered Jun 6 at 12:48

frougonfrougon

3,63011 gold badge99 silver badges1818 bronze badges

answered Jun 6 at 12:48

frougonfrougon

3,63011 gold badge99 silver badges1818 bronze badges

0

In this context I have finded an alternative using spalign package. The correct vertical alignment between the two column vectors of the matrix containing the subscripts k is guaranteed by mkern2mu and mkern-2mu.

documentclassarticle
usepackage[margin=2cm]geometry
usepackagemathtools
usepackagespalign

begindocument

[ spaligndelims[] spalignmat[l]mkern2mumathbfP^-_k mkern-2mumathbfC_k; mathbfC_k mathbfS_k ]
enddocument

share|improve this answer

answered 7 hours ago

SebastianoSebastiano

12.9k44 gold badges2525 silver badges7070 bronze badges

add a comment | 

0

In this context I have finded an alternative using spalign package. The correct vertical alignment between the two column vectors of the matrix containing the subscripts k is guaranteed by mkern2mu and mkern-2mu.

documentclassarticle
usepackage[margin=2cm]geometry
usepackagemathtools
usepackagespalign

begindocument

[ spaligndelims[] spalignmat[l]mkern2mumathbfP^-_k mkern-2mumathbfC_k; mathbfC_k mathbfS_k ]
enddocument

share|improve this answer

answered 7 hours ago

SebastianoSebastiano

12.9k44 gold badges2525 silver badges7070 bronze badges

add a comment | 

In this context I have finded an alternative using spalign package. The correct vertical alignment between the two column vectors of the matrix containing the subscripts k is guaranteed by mkern2mu and mkern-2mu.

documentclassarticle
usepackage[margin=2cm]geometry
usepackagemathtools
usepackagespalign

begindocument

[ spaligndelims[] spalignmat[l]mkern2mumathbfP^-_k mkern-2mumathbfC_k; mathbfC_k mathbfS_k ]
enddocument

share|improve this answer

answered 7 hours ago

SebastianoSebastiano

12.9k44 gold badges2525 silver badges7070 bronze badges

documentclassarticle
usepackage[margin=2cm]geometry
usepackagemathtools
usepackagespalign

begindocument

[ spaligndelims[] spalignmat[l]mkern2mumathbfP^-_k mkern-2mumathbfC_k; mathbfC_k mathbfS_k ]
enddocument

share|improve this answer

answered 7 hours ago

SebastianoSebastiano

12.9k44 gold badges2525 silver badges7070 bronze badges

answered 7 hours ago

SebastianoSebastiano

12.9k44 gold badges2525 silver badges7070 bronze badges

answered 7 hours ago

SebastianoSebastiano

12.9k44 gold badges2525 silver badges7070 bronze badges