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Alignment of six matrices


Why does aligning equations not work here?Multiple matrix equations, alignmentMultiple alignmentAlignment with bracketsWhy align environement does not work with “extract ”package?Align matrices problemAlignment and line breaking in alignment environmentAllow page breaks in a gather environment with a nested alignEquation Alignment with Hierarchical Left AlignmentLong series alignmentMultiple = alignmentMultiline equation with matrices













4















I'm currently facing a problem with the align environment. I'd like to write six matrices in two rows, aligned on each equal sign per column. The problem is that I can't figure out how to do this with the align environment for some reason. I've read the related posts here and here, where [1] seems to be a bit of an overkill for my problem and [2] doesn't work for some reason...



An MWE to the problem:



documentclassarticle
usepackage[margin=2.5cm]geometry
usepackageamssymb, amsthm, mathtools
begindocument
beginalign*
I _ 1 &=
beginpmatrix
0 & 0 & 0 & 0 \
0 & 0 & 0 & 0 \
0 & 0 & 0 & 1 \
0 & 0 & - 1 & 0
endpmatrix,
I _ 2 &&=
beginpmatrix
0 & 0 & 0 & 0 \
0 & 0 & 0 & 1 \
0 & 0 & 0 & 0 \
0 & -1 & 0 & 0
endpmatrix,
I _ 3 &&=
beginpmatrix
0 & 0 & 0 & 0 \
0 & 0 & 1 & 0 \
0 & -1 & 0 & 0 \
0 & 0 & 0 & 0
endpmatrix, \
J _ 1 &=
beginpmatrix
0 & -1 & 0 & 0 \
-1 & 0 & 0 & 0 \
0 & 0 & 0 & 0 \
0 & 0 & 0 & 0
endpmatrix,
J _ 2 &&=
beginpmatrix
0 & 0 & -1 & 0 \
0 & 0 & 0 & 0 \
-1 & 0 & 0 & 0 \
0 & 0 & 0 & 0
endpmatrix,
J _ 3 &&=
beginpmatrix
0 & 0 & 0 & - 1 \
0 & 0 & 0 & 0 \
0 & 0 & 0 & 0 \
- 1 & 0 & 0 & 0
endpmatrix.
endalign*
enddocument


Note: I'm aware that most of the are useless here but the matrices were generated by Mathpix....










share|improve this question









New contributor




Marius Jaeger is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
























    4















    I'm currently facing a problem with the align environment. I'd like to write six matrices in two rows, aligned on each equal sign per column. The problem is that I can't figure out how to do this with the align environment for some reason. I've read the related posts here and here, where [1] seems to be a bit of an overkill for my problem and [2] doesn't work for some reason...



    An MWE to the problem:



    documentclassarticle
    usepackage[margin=2.5cm]geometry
    usepackageamssymb, amsthm, mathtools
    begindocument
    beginalign*
    I _ 1 &=
    beginpmatrix
    0 & 0 & 0 & 0 \
    0 & 0 & 0 & 0 \
    0 & 0 & 0 & 1 \
    0 & 0 & - 1 & 0
    endpmatrix,
    I _ 2 &&=
    beginpmatrix
    0 & 0 & 0 & 0 \
    0 & 0 & 0 & 1 \
    0 & 0 & 0 & 0 \
    0 & -1 & 0 & 0
    endpmatrix,
    I _ 3 &&=
    beginpmatrix
    0 & 0 & 0 & 0 \
    0 & 0 & 1 & 0 \
    0 & -1 & 0 & 0 \
    0 & 0 & 0 & 0
    endpmatrix, \
    J _ 1 &=
    beginpmatrix
    0 & -1 & 0 & 0 \
    -1 & 0 & 0 & 0 \
    0 & 0 & 0 & 0 \
    0 & 0 & 0 & 0
    endpmatrix,
    J _ 2 &&=
    beginpmatrix
    0 & 0 & -1 & 0 \
    0 & 0 & 0 & 0 \
    -1 & 0 & 0 & 0 \
    0 & 0 & 0 & 0
    endpmatrix,
    J _ 3 &&=
    beginpmatrix
    0 & 0 & 0 & - 1 \
    0 & 0 & 0 & 0 \
    0 & 0 & 0 & 0 \
    - 1 & 0 & 0 & 0
    endpmatrix.
    endalign*
    enddocument


    Note: I'm aware that most of the are useless here but the matrices were generated by Mathpix....










    share|improve this question









    New contributor




    Marius Jaeger is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
    Check out our Code of Conduct.






















      4












      4








      4








      I'm currently facing a problem with the align environment. I'd like to write six matrices in two rows, aligned on each equal sign per column. The problem is that I can't figure out how to do this with the align environment for some reason. I've read the related posts here and here, where [1] seems to be a bit of an overkill for my problem and [2] doesn't work for some reason...



      An MWE to the problem:



      documentclassarticle
      usepackage[margin=2.5cm]geometry
      usepackageamssymb, amsthm, mathtools
      begindocument
      beginalign*
      I _ 1 &=
      beginpmatrix
      0 & 0 & 0 & 0 \
      0 & 0 & 0 & 0 \
      0 & 0 & 0 & 1 \
      0 & 0 & - 1 & 0
      endpmatrix,
      I _ 2 &&=
      beginpmatrix
      0 & 0 & 0 & 0 \
      0 & 0 & 0 & 1 \
      0 & 0 & 0 & 0 \
      0 & -1 & 0 & 0
      endpmatrix,
      I _ 3 &&=
      beginpmatrix
      0 & 0 & 0 & 0 \
      0 & 0 & 1 & 0 \
      0 & -1 & 0 & 0 \
      0 & 0 & 0 & 0
      endpmatrix, \
      J _ 1 &=
      beginpmatrix
      0 & -1 & 0 & 0 \
      -1 & 0 & 0 & 0 \
      0 & 0 & 0 & 0 \
      0 & 0 & 0 & 0
      endpmatrix,
      J _ 2 &&=
      beginpmatrix
      0 & 0 & -1 & 0 \
      0 & 0 & 0 & 0 \
      -1 & 0 & 0 & 0 \
      0 & 0 & 0 & 0
      endpmatrix,
      J _ 3 &&=
      beginpmatrix
      0 & 0 & 0 & - 1 \
      0 & 0 & 0 & 0 \
      0 & 0 & 0 & 0 \
      - 1 & 0 & 0 & 0
      endpmatrix.
      endalign*
      enddocument


      Note: I'm aware that most of the are useless here but the matrices were generated by Mathpix....










      share|improve this question









      New contributor




      Marius Jaeger is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
      Check out our Code of Conduct.












      I'm currently facing a problem with the align environment. I'd like to write six matrices in two rows, aligned on each equal sign per column. The problem is that I can't figure out how to do this with the align environment for some reason. I've read the related posts here and here, where [1] seems to be a bit of an overkill for my problem and [2] doesn't work for some reason...



      An MWE to the problem:



      documentclassarticle
      usepackage[margin=2.5cm]geometry
      usepackageamssymb, amsthm, mathtools
      begindocument
      beginalign*
      I _ 1 &=
      beginpmatrix
      0 & 0 & 0 & 0 \
      0 & 0 & 0 & 0 \
      0 & 0 & 0 & 1 \
      0 & 0 & - 1 & 0
      endpmatrix,
      I _ 2 &&=
      beginpmatrix
      0 & 0 & 0 & 0 \
      0 & 0 & 0 & 1 \
      0 & 0 & 0 & 0 \
      0 & -1 & 0 & 0
      endpmatrix,
      I _ 3 &&=
      beginpmatrix
      0 & 0 & 0 & 0 \
      0 & 0 & 1 & 0 \
      0 & -1 & 0 & 0 \
      0 & 0 & 0 & 0
      endpmatrix, \
      J _ 1 &=
      beginpmatrix
      0 & -1 & 0 & 0 \
      -1 & 0 & 0 & 0 \
      0 & 0 & 0 & 0 \
      0 & 0 & 0 & 0
      endpmatrix,
      J _ 2 &&=
      beginpmatrix
      0 & 0 & -1 & 0 \
      0 & 0 & 0 & 0 \
      -1 & 0 & 0 & 0 \
      0 & 0 & 0 & 0
      endpmatrix,
      J _ 3 &&=
      beginpmatrix
      0 & 0 & 0 & - 1 \
      0 & 0 & 0 & 0 \
      0 & 0 & 0 & 0 \
      - 1 & 0 & 0 & 0
      endpmatrix.
      endalign*
      enddocument


      Note: I'm aware that most of the are useless here but the matrices were generated by Mathpix....







      align






      share|improve this question









      New contributor




      Marius Jaeger is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
      Check out our Code of Conduct.











      share|improve this question









      New contributor




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      Check out our Code of Conduct.









      share|improve this question




      share|improve this question








      edited 4 hours ago









      Bernard

      173k776205




      173k776205






      New contributor




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      asked 5 hours ago









      Marius JaegerMarius Jaeger

      354




      354




      New contributor




      Marius Jaeger is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
      Check out our Code of Conduct.





      New contributor





      Marius Jaeger is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
      Check out our Code of Conduct.






      Marius Jaeger is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
      Check out our Code of Conduct.




















          2 Answers
          2






          active

          oldest

          votes


















          7














          I just moved the &



          enter image description here



          documentclassarticle
          usepackage[margin=2.5cm]geometry
          usepackageamssymb, amsthm, mathtools
          begindocument
          beginalign*
          I _ 1 &=
          beginpmatrix
          0 & 0 & 0 & 0 \
          0 & 0 & 0 & 0 \
          0 & 0 & 0 & 1 \
          0 & 0 & - 1 & 0
          endpmatrix,
          &I _ 2 &=
          beginpmatrix
          0 & 0 & 0 & 0 \
          0 & 0 & 0 & 1 \
          0 & 0 & 0 & 0 \
          0 & -1 & 0 & 0
          endpmatrix,
          &I _ 3 &=
          beginpmatrix
          0 & 0 & 0 & 0 \
          0 & 0 & 1 & 0 \
          0 & -1 & 0 & 0 \
          0 & 0 & 0 & 0
          endpmatrix, \
          J _ 1 &=
          beginpmatrix
          0 & -1 & 0 & 0 \
          -1 & 0 & 0 & 0 \
          0 & 0 & 0 & 0 \
          0 & 0 & 0 & 0
          endpmatrix,
          &J _ 2 &=
          beginpmatrix
          0 & 0 & -1 & 0 \
          0 & 0 & 0 & 0 \
          -1 & 0 & 0 & 0 \
          0 & 0 & 0 & 0
          endpmatrix,
          &J _ 3 &=
          beginpmatrix
          0 & 0 & 0 & - 1 \
          0 & 0 & 0 & 0 \
          0 & 0 & 0 & 0 \
          - 1 & 0 & 0 & 0
          endpmatrix.
          endalign*
          enddocument





          share|improve this answer























          • David and his movement made me feel good.

            – manooooh
            5 hours ago






          • 1





            @marmot I didn't look at them (as I say I just moved the & ) but what about them?

            – David Carlisle
            4 hours ago











          • @marmot not a sign change between a test file and a supplied example, you are assuming that is the meaning of these matrices:-)

            – David Carlisle
            3 hours ago












          • @marmot TeX takes no position on mathematical accuracy, so long as it looks nice.

            – David Carlisle
            3 hours ago











          • @marmot in that case, which convention do you prefer?^^

            – Marius Jaeger
            2 hours ago


















          5














          Uniform alignment everywhere...



          documentclassarticle
          usepackage[margin=2.5cm]geometry
          usepackageamssymb, amsthm, mathtools
          usepackagetabstackengine
          setstacktabbedgap1ex
          begindocument
          fixTABwidthT
          beginalign*
          I _ 1 =
          parenMatrixstack[r]
          0 & 0 & 0 & 0 \
          0 & 0 & 0 & 0 \
          0 & 0 & 0 & 1 \
          0 & 0 & - 1 & 0
          ,&&
          I _ 2 =
          parenMatrixstack[r]
          0 & 0 & 0 & 0 \
          0 & 0 & 0 & 1 \
          0 & 0 & 0 & 0 \
          0 & -1 & 0 & 0
          , &&
          I _ 3 =
          parenMatrixstack[r]
          0 & 0 & 0 & 0 \
          0 & 0 & 1 & 0 \
          0 & -1 & 0 & 0 \
          0 & 0 & 0 & 0
          , \
          J _ 1 =
          parenMatrixstack[r]
          0 & -1 & 0 & 0 \
          -1 & 0 & 0 & 0 \
          0 & 0 & 0 & 0 \
          0 & 0 & 0 & 0
          ,&&
          J _ 2 =
          parenMatrixstack[r]
          0 & 0 & -1 & 0 \
          0 & 0 & 0 & 0 \
          -1 & 0 & 0 & 0 \
          0 & 0 & 0 & 0
          ,&&
          J _ 3 =
          parenMatrixstack[r]
          0 & 0 & 0 & - 1 \
          0 & 0 & 0 & 0 \
          0 & 0 & 0 & 0 \
          - 1 & 0 & 0 & 0
          .
          endalign*
          enddocument


          enter image description here






          share|improve this answer






















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            2 Answers
            2






            active

            oldest

            votes








            2 Answers
            2






            active

            oldest

            votes









            active

            oldest

            votes






            active

            oldest

            votes









            7














            I just moved the &



            enter image description here



            documentclassarticle
            usepackage[margin=2.5cm]geometry
            usepackageamssymb, amsthm, mathtools
            begindocument
            beginalign*
            I _ 1 &=
            beginpmatrix
            0 & 0 & 0 & 0 \
            0 & 0 & 0 & 0 \
            0 & 0 & 0 & 1 \
            0 & 0 & - 1 & 0
            endpmatrix,
            &I _ 2 &=
            beginpmatrix
            0 & 0 & 0 & 0 \
            0 & 0 & 0 & 1 \
            0 & 0 & 0 & 0 \
            0 & -1 & 0 & 0
            endpmatrix,
            &I _ 3 &=
            beginpmatrix
            0 & 0 & 0 & 0 \
            0 & 0 & 1 & 0 \
            0 & -1 & 0 & 0 \
            0 & 0 & 0 & 0
            endpmatrix, \
            J _ 1 &=
            beginpmatrix
            0 & -1 & 0 & 0 \
            -1 & 0 & 0 & 0 \
            0 & 0 & 0 & 0 \
            0 & 0 & 0 & 0
            endpmatrix,
            &J _ 2 &=
            beginpmatrix
            0 & 0 & -1 & 0 \
            0 & 0 & 0 & 0 \
            -1 & 0 & 0 & 0 \
            0 & 0 & 0 & 0
            endpmatrix,
            &J _ 3 &=
            beginpmatrix
            0 & 0 & 0 & - 1 \
            0 & 0 & 0 & 0 \
            0 & 0 & 0 & 0 \
            - 1 & 0 & 0 & 0
            endpmatrix.
            endalign*
            enddocument





            share|improve this answer























            • David and his movement made me feel good.

              – manooooh
              5 hours ago






            • 1





              @marmot I didn't look at them (as I say I just moved the & ) but what about them?

              – David Carlisle
              4 hours ago











            • @marmot not a sign change between a test file and a supplied example, you are assuming that is the meaning of these matrices:-)

              – David Carlisle
              3 hours ago












            • @marmot TeX takes no position on mathematical accuracy, so long as it looks nice.

              – David Carlisle
              3 hours ago











            • @marmot in that case, which convention do you prefer?^^

              – Marius Jaeger
              2 hours ago















            7














            I just moved the &



            enter image description here



            documentclassarticle
            usepackage[margin=2.5cm]geometry
            usepackageamssymb, amsthm, mathtools
            begindocument
            beginalign*
            I _ 1 &=
            beginpmatrix
            0 & 0 & 0 & 0 \
            0 & 0 & 0 & 0 \
            0 & 0 & 0 & 1 \
            0 & 0 & - 1 & 0
            endpmatrix,
            &I _ 2 &=
            beginpmatrix
            0 & 0 & 0 & 0 \
            0 & 0 & 0 & 1 \
            0 & 0 & 0 & 0 \
            0 & -1 & 0 & 0
            endpmatrix,
            &I _ 3 &=
            beginpmatrix
            0 & 0 & 0 & 0 \
            0 & 0 & 1 & 0 \
            0 & -1 & 0 & 0 \
            0 & 0 & 0 & 0
            endpmatrix, \
            J _ 1 &=
            beginpmatrix
            0 & -1 & 0 & 0 \
            -1 & 0 & 0 & 0 \
            0 & 0 & 0 & 0 \
            0 & 0 & 0 & 0
            endpmatrix,
            &J _ 2 &=
            beginpmatrix
            0 & 0 & -1 & 0 \
            0 & 0 & 0 & 0 \
            -1 & 0 & 0 & 0 \
            0 & 0 & 0 & 0
            endpmatrix,
            &J _ 3 &=
            beginpmatrix
            0 & 0 & 0 & - 1 \
            0 & 0 & 0 & 0 \
            0 & 0 & 0 & 0 \
            - 1 & 0 & 0 & 0
            endpmatrix.
            endalign*
            enddocument





            share|improve this answer























            • David and his movement made me feel good.

              – manooooh
              5 hours ago






            • 1





              @marmot I didn't look at them (as I say I just moved the & ) but what about them?

              – David Carlisle
              4 hours ago











            • @marmot not a sign change between a test file and a supplied example, you are assuming that is the meaning of these matrices:-)

              – David Carlisle
              3 hours ago












            • @marmot TeX takes no position on mathematical accuracy, so long as it looks nice.

              – David Carlisle
              3 hours ago











            • @marmot in that case, which convention do you prefer?^^

              – Marius Jaeger
              2 hours ago













            7












            7








            7







            I just moved the &



            enter image description here



            documentclassarticle
            usepackage[margin=2.5cm]geometry
            usepackageamssymb, amsthm, mathtools
            begindocument
            beginalign*
            I _ 1 &=
            beginpmatrix
            0 & 0 & 0 & 0 \
            0 & 0 & 0 & 0 \
            0 & 0 & 0 & 1 \
            0 & 0 & - 1 & 0
            endpmatrix,
            &I _ 2 &=
            beginpmatrix
            0 & 0 & 0 & 0 \
            0 & 0 & 0 & 1 \
            0 & 0 & 0 & 0 \
            0 & -1 & 0 & 0
            endpmatrix,
            &I _ 3 &=
            beginpmatrix
            0 & 0 & 0 & 0 \
            0 & 0 & 1 & 0 \
            0 & -1 & 0 & 0 \
            0 & 0 & 0 & 0
            endpmatrix, \
            J _ 1 &=
            beginpmatrix
            0 & -1 & 0 & 0 \
            -1 & 0 & 0 & 0 \
            0 & 0 & 0 & 0 \
            0 & 0 & 0 & 0
            endpmatrix,
            &J _ 2 &=
            beginpmatrix
            0 & 0 & -1 & 0 \
            0 & 0 & 0 & 0 \
            -1 & 0 & 0 & 0 \
            0 & 0 & 0 & 0
            endpmatrix,
            &J _ 3 &=
            beginpmatrix
            0 & 0 & 0 & - 1 \
            0 & 0 & 0 & 0 \
            0 & 0 & 0 & 0 \
            - 1 & 0 & 0 & 0
            endpmatrix.
            endalign*
            enddocument





            share|improve this answer













            I just moved the &



            enter image description here



            documentclassarticle
            usepackage[margin=2.5cm]geometry
            usepackageamssymb, amsthm, mathtools
            begindocument
            beginalign*
            I _ 1 &=
            beginpmatrix
            0 & 0 & 0 & 0 \
            0 & 0 & 0 & 0 \
            0 & 0 & 0 & 1 \
            0 & 0 & - 1 & 0
            endpmatrix,
            &I _ 2 &=
            beginpmatrix
            0 & 0 & 0 & 0 \
            0 & 0 & 0 & 1 \
            0 & 0 & 0 & 0 \
            0 & -1 & 0 & 0
            endpmatrix,
            &I _ 3 &=
            beginpmatrix
            0 & 0 & 0 & 0 \
            0 & 0 & 1 & 0 \
            0 & -1 & 0 & 0 \
            0 & 0 & 0 & 0
            endpmatrix, \
            J _ 1 &=
            beginpmatrix
            0 & -1 & 0 & 0 \
            -1 & 0 & 0 & 0 \
            0 & 0 & 0 & 0 \
            0 & 0 & 0 & 0
            endpmatrix,
            &J _ 2 &=
            beginpmatrix
            0 & 0 & -1 & 0 \
            0 & 0 & 0 & 0 \
            -1 & 0 & 0 & 0 \
            0 & 0 & 0 & 0
            endpmatrix,
            &J _ 3 &=
            beginpmatrix
            0 & 0 & 0 & - 1 \
            0 & 0 & 0 & 0 \
            0 & 0 & 0 & 0 \
            - 1 & 0 & 0 & 0
            endpmatrix.
            endalign*
            enddocument






            share|improve this answer












            share|improve this answer



            share|improve this answer










            answered 5 hours ago









            David CarlisleDavid Carlisle

            495k4111391887




            495k4111391887












            • David and his movement made me feel good.

              – manooooh
              5 hours ago






            • 1





              @marmot I didn't look at them (as I say I just moved the & ) but what about them?

              – David Carlisle
              4 hours ago











            • @marmot not a sign change between a test file and a supplied example, you are assuming that is the meaning of these matrices:-)

              – David Carlisle
              3 hours ago












            • @marmot TeX takes no position on mathematical accuracy, so long as it looks nice.

              – David Carlisle
              3 hours ago











            • @marmot in that case, which convention do you prefer?^^

              – Marius Jaeger
              2 hours ago

















            • David and his movement made me feel good.

              – manooooh
              5 hours ago






            • 1





              @marmot I didn't look at them (as I say I just moved the & ) but what about them?

              – David Carlisle
              4 hours ago











            • @marmot not a sign change between a test file and a supplied example, you are assuming that is the meaning of these matrices:-)

              – David Carlisle
              3 hours ago












            • @marmot TeX takes no position on mathematical accuracy, so long as it looks nice.

              – David Carlisle
              3 hours ago











            • @marmot in that case, which convention do you prefer?^^

              – Marius Jaeger
              2 hours ago
















            David and his movement made me feel good.

            – manooooh
            5 hours ago





            David and his movement made me feel good.

            – manooooh
            5 hours ago




            1




            1





            @marmot I didn't look at them (as I say I just moved the & ) but what about them?

            – David Carlisle
            4 hours ago





            @marmot I didn't look at them (as I say I just moved the & ) but what about them?

            – David Carlisle
            4 hours ago













            @marmot not a sign change between a test file and a supplied example, you are assuming that is the meaning of these matrices:-)

            – David Carlisle
            3 hours ago






            @marmot not a sign change between a test file and a supplied example, you are assuming that is the meaning of these matrices:-)

            – David Carlisle
            3 hours ago














            @marmot TeX takes no position on mathematical accuracy, so long as it looks nice.

            – David Carlisle
            3 hours ago





            @marmot TeX takes no position on mathematical accuracy, so long as it looks nice.

            – David Carlisle
            3 hours ago













            @marmot in that case, which convention do you prefer?^^

            – Marius Jaeger
            2 hours ago





            @marmot in that case, which convention do you prefer?^^

            – Marius Jaeger
            2 hours ago











            5














            Uniform alignment everywhere...



            documentclassarticle
            usepackage[margin=2.5cm]geometry
            usepackageamssymb, amsthm, mathtools
            usepackagetabstackengine
            setstacktabbedgap1ex
            begindocument
            fixTABwidthT
            beginalign*
            I _ 1 =
            parenMatrixstack[r]
            0 & 0 & 0 & 0 \
            0 & 0 & 0 & 0 \
            0 & 0 & 0 & 1 \
            0 & 0 & - 1 & 0
            ,&&
            I _ 2 =
            parenMatrixstack[r]
            0 & 0 & 0 & 0 \
            0 & 0 & 0 & 1 \
            0 & 0 & 0 & 0 \
            0 & -1 & 0 & 0
            , &&
            I _ 3 =
            parenMatrixstack[r]
            0 & 0 & 0 & 0 \
            0 & 0 & 1 & 0 \
            0 & -1 & 0 & 0 \
            0 & 0 & 0 & 0
            , \
            J _ 1 =
            parenMatrixstack[r]
            0 & -1 & 0 & 0 \
            -1 & 0 & 0 & 0 \
            0 & 0 & 0 & 0 \
            0 & 0 & 0 & 0
            ,&&
            J _ 2 =
            parenMatrixstack[r]
            0 & 0 & -1 & 0 \
            0 & 0 & 0 & 0 \
            -1 & 0 & 0 & 0 \
            0 & 0 & 0 & 0
            ,&&
            J _ 3 =
            parenMatrixstack[r]
            0 & 0 & 0 & - 1 \
            0 & 0 & 0 & 0 \
            0 & 0 & 0 & 0 \
            - 1 & 0 & 0 & 0
            .
            endalign*
            enddocument


            enter image description here






            share|improve this answer



























              5














              Uniform alignment everywhere...



              documentclassarticle
              usepackage[margin=2.5cm]geometry
              usepackageamssymb, amsthm, mathtools
              usepackagetabstackengine
              setstacktabbedgap1ex
              begindocument
              fixTABwidthT
              beginalign*
              I _ 1 =
              parenMatrixstack[r]
              0 & 0 & 0 & 0 \
              0 & 0 & 0 & 0 \
              0 & 0 & 0 & 1 \
              0 & 0 & - 1 & 0
              ,&&
              I _ 2 =
              parenMatrixstack[r]
              0 & 0 & 0 & 0 \
              0 & 0 & 0 & 1 \
              0 & 0 & 0 & 0 \
              0 & -1 & 0 & 0
              , &&
              I _ 3 =
              parenMatrixstack[r]
              0 & 0 & 0 & 0 \
              0 & 0 & 1 & 0 \
              0 & -1 & 0 & 0 \
              0 & 0 & 0 & 0
              , \
              J _ 1 =
              parenMatrixstack[r]
              0 & -1 & 0 & 0 \
              -1 & 0 & 0 & 0 \
              0 & 0 & 0 & 0 \
              0 & 0 & 0 & 0
              ,&&
              J _ 2 =
              parenMatrixstack[r]
              0 & 0 & -1 & 0 \
              0 & 0 & 0 & 0 \
              -1 & 0 & 0 & 0 \
              0 & 0 & 0 & 0
              ,&&
              J _ 3 =
              parenMatrixstack[r]
              0 & 0 & 0 & - 1 \
              0 & 0 & 0 & 0 \
              0 & 0 & 0 & 0 \
              - 1 & 0 & 0 & 0
              .
              endalign*
              enddocument


              enter image description here






              share|improve this answer

























                5












                5








                5







                Uniform alignment everywhere...



                documentclassarticle
                usepackage[margin=2.5cm]geometry
                usepackageamssymb, amsthm, mathtools
                usepackagetabstackengine
                setstacktabbedgap1ex
                begindocument
                fixTABwidthT
                beginalign*
                I _ 1 =
                parenMatrixstack[r]
                0 & 0 & 0 & 0 \
                0 & 0 & 0 & 0 \
                0 & 0 & 0 & 1 \
                0 & 0 & - 1 & 0
                ,&&
                I _ 2 =
                parenMatrixstack[r]
                0 & 0 & 0 & 0 \
                0 & 0 & 0 & 1 \
                0 & 0 & 0 & 0 \
                0 & -1 & 0 & 0
                , &&
                I _ 3 =
                parenMatrixstack[r]
                0 & 0 & 0 & 0 \
                0 & 0 & 1 & 0 \
                0 & -1 & 0 & 0 \
                0 & 0 & 0 & 0
                , \
                J _ 1 =
                parenMatrixstack[r]
                0 & -1 & 0 & 0 \
                -1 & 0 & 0 & 0 \
                0 & 0 & 0 & 0 \
                0 & 0 & 0 & 0
                ,&&
                J _ 2 =
                parenMatrixstack[r]
                0 & 0 & -1 & 0 \
                0 & 0 & 0 & 0 \
                -1 & 0 & 0 & 0 \
                0 & 0 & 0 & 0
                ,&&
                J _ 3 =
                parenMatrixstack[r]
                0 & 0 & 0 & - 1 \
                0 & 0 & 0 & 0 \
                0 & 0 & 0 & 0 \
                - 1 & 0 & 0 & 0
                .
                endalign*
                enddocument


                enter image description here






                share|improve this answer













                Uniform alignment everywhere...



                documentclassarticle
                usepackage[margin=2.5cm]geometry
                usepackageamssymb, amsthm, mathtools
                usepackagetabstackengine
                setstacktabbedgap1ex
                begindocument
                fixTABwidthT
                beginalign*
                I _ 1 =
                parenMatrixstack[r]
                0 & 0 & 0 & 0 \
                0 & 0 & 0 & 0 \
                0 & 0 & 0 & 1 \
                0 & 0 & - 1 & 0
                ,&&
                I _ 2 =
                parenMatrixstack[r]
                0 & 0 & 0 & 0 \
                0 & 0 & 0 & 1 \
                0 & 0 & 0 & 0 \
                0 & -1 & 0 & 0
                , &&
                I _ 3 =
                parenMatrixstack[r]
                0 & 0 & 0 & 0 \
                0 & 0 & 1 & 0 \
                0 & -1 & 0 & 0 \
                0 & 0 & 0 & 0
                , \
                J _ 1 =
                parenMatrixstack[r]
                0 & -1 & 0 & 0 \
                -1 & 0 & 0 & 0 \
                0 & 0 & 0 & 0 \
                0 & 0 & 0 & 0
                ,&&
                J _ 2 =
                parenMatrixstack[r]
                0 & 0 & -1 & 0 \
                0 & 0 & 0 & 0 \
                -1 & 0 & 0 & 0 \
                0 & 0 & 0 & 0
                ,&&
                J _ 3 =
                parenMatrixstack[r]
                0 & 0 & 0 & - 1 \
                0 & 0 & 0 & 0 \
                0 & 0 & 0 & 0 \
                - 1 & 0 & 0 & 0
                .
                endalign*
                enddocument


                enter image description here







                share|improve this answer












                share|improve this answer



                share|improve this answer










                answered 4 hours ago









                Steven B. SegletesSteven B. Segletes

                159k9204411




                159k9204411




















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