How to stretch delimiters to envolve matrices inside of a kbordermatrix?












2















I am putting three matrices inside of a kbordermatrix, but the delimiters do not envolve the inner matrices completely. How can I do to stretch the kbordermatrix delimiters to envolve the inner matrices?



My MWE:



documentclass[brazil]{article}



usepackage{amsfonts,amssymb,array,mathtools}
usepackage{kbordermatrix}



begin{document}

begin{eqnarray}
mathbf{A} & = &
setlength{kbrowsep}{2pt}
setlength{kbcolsep}{0pt}
renewcommand{arraystretch}{1.5}
renewcommand{kbldelim}{(}
renewcommand{kbrdelim}{)}
kbordermatrix{
omit & & , & & , & cr
omit & overbrace{begingroup
setlength{arraycolsep}{2.5pt}
begin{bmatrix}
0,9960 & -0,0037 \
0,0111 & 0,9867
end{bmatrix}
endgroup} & , & overbrace{begingroup
setlength{arraycolsep}{2.5pt}
begin{bmatrix}
0,9961 & -0,0059 \
0,0715 & 1,0423
end{bmatrix}
endgroup} & , & overbrace{begingroup
setlength{arraycolsep}{2.5pt}
begin{bmatrix}
1,0034 & 0,0009 \
0,0098 & 0,9696
end{bmatrix}
endgroup}
} nonumber
end{eqnarray}


end{document}



The execution results of aforementioned code:



enter image description here



P.S.: I would like to stretch the delimiters until the red arrows.










share|improve this question





























    2















    I am putting three matrices inside of a kbordermatrix, but the delimiters do not envolve the inner matrices completely. How can I do to stretch the kbordermatrix delimiters to envolve the inner matrices?



    My MWE:



    documentclass[brazil]{article}



    usepackage{amsfonts,amssymb,array,mathtools}
    usepackage{kbordermatrix}



    begin{document}

    begin{eqnarray}
    mathbf{A} & = &
    setlength{kbrowsep}{2pt}
    setlength{kbcolsep}{0pt}
    renewcommand{arraystretch}{1.5}
    renewcommand{kbldelim}{(}
    renewcommand{kbrdelim}{)}
    kbordermatrix{
    omit & & , & & , & cr
    omit & overbrace{begingroup
    setlength{arraycolsep}{2.5pt}
    begin{bmatrix}
    0,9960 & -0,0037 \
    0,0111 & 0,9867
    end{bmatrix}
    endgroup} & , & overbrace{begingroup
    setlength{arraycolsep}{2.5pt}
    begin{bmatrix}
    0,9961 & -0,0059 \
    0,0715 & 1,0423
    end{bmatrix}
    endgroup} & , & overbrace{begingroup
    setlength{arraycolsep}{2.5pt}
    begin{bmatrix}
    1,0034 & 0,0009 \
    0,0098 & 0,9696
    end{bmatrix}
    endgroup}
    } nonumber
    end{eqnarray}


    end{document}



    The execution results of aforementioned code:



    enter image description here



    P.S.: I would like to stretch the delimiters until the red arrows.










    share|improve this question



























      2












      2








      2








      I am putting three matrices inside of a kbordermatrix, but the delimiters do not envolve the inner matrices completely. How can I do to stretch the kbordermatrix delimiters to envolve the inner matrices?



      My MWE:



      documentclass[brazil]{article}



      usepackage{amsfonts,amssymb,array,mathtools}
      usepackage{kbordermatrix}



      begin{document}

      begin{eqnarray}
      mathbf{A} & = &
      setlength{kbrowsep}{2pt}
      setlength{kbcolsep}{0pt}
      renewcommand{arraystretch}{1.5}
      renewcommand{kbldelim}{(}
      renewcommand{kbrdelim}{)}
      kbordermatrix{
      omit & & , & & , & cr
      omit & overbrace{begingroup
      setlength{arraycolsep}{2.5pt}
      begin{bmatrix}
      0,9960 & -0,0037 \
      0,0111 & 0,9867
      end{bmatrix}
      endgroup} & , & overbrace{begingroup
      setlength{arraycolsep}{2.5pt}
      begin{bmatrix}
      0,9961 & -0,0059 \
      0,0715 & 1,0423
      end{bmatrix}
      endgroup} & , & overbrace{begingroup
      setlength{arraycolsep}{2.5pt}
      begin{bmatrix}
      1,0034 & 0,0009 \
      0,0098 & 0,9696
      end{bmatrix}
      endgroup}
      } nonumber
      end{eqnarray}


      end{document}



      The execution results of aforementioned code:



      enter image description here



      P.S.: I would like to stretch the delimiters until the red arrows.










      share|improve this question
















      I am putting three matrices inside of a kbordermatrix, but the delimiters do not envolve the inner matrices completely. How can I do to stretch the kbordermatrix delimiters to envolve the inner matrices?



      My MWE:



      documentclass[brazil]{article}



      usepackage{amsfonts,amssymb,array,mathtools}
      usepackage{kbordermatrix}



      begin{document}

      begin{eqnarray}
      mathbf{A} & = &
      setlength{kbrowsep}{2pt}
      setlength{kbcolsep}{0pt}
      renewcommand{arraystretch}{1.5}
      renewcommand{kbldelim}{(}
      renewcommand{kbrdelim}{)}
      kbordermatrix{
      omit & & , & & , & cr
      omit & overbrace{begingroup
      setlength{arraycolsep}{2.5pt}
      begin{bmatrix}
      0,9960 & -0,0037 \
      0,0111 & 0,9867
      end{bmatrix}
      endgroup} & , & overbrace{begingroup
      setlength{arraycolsep}{2.5pt}
      begin{bmatrix}
      0,9961 & -0,0059 \
      0,0715 & 1,0423
      end{bmatrix}
      endgroup} & , & overbrace{begingroup
      setlength{arraycolsep}{2.5pt}
      begin{bmatrix}
      1,0034 & 0,0009 \
      0,0098 & 0,9696
      end{bmatrix}
      endgroup}
      } nonumber
      end{eqnarray}


      end{document}



      The execution results of aforementioned code:



      enter image description here



      P.S.: I would like to stretch the delimiters until the red arrows.







      kbordermatrix






      share|improve this question















      share|improve this question













      share|improve this question




      share|improve this question








      edited 2 hours ago







      Adriano

















      asked 2 hours ago









      AdrianoAdriano

      354




      354






















          2 Answers
          2






          active

          oldest

          votes


















          2














          Turn off arraystretch. Then, manually, add the desired space between rows.



          documentclass[brazil]{article}

          usepackage{amsfonts,amssymb,array,mathtools}
          usepackage{kbordermatrix}

          begin{document}
          begin{eqnarray}
          mathbf{A} & = &
          setlength{kbrowsep}{2pt}
          setlength{kbcolsep}{0pt}
          % renewcommand{arraystretch}{1.5}
          renewcommand{kbldelim}{(}
          renewcommand{kbrdelim}{)}
          kbordermatrix{
          omit & & , & & , & cr
          omit & overbrace{begingroup
          setlength{arraycolsep}{2.5pt}
          begin{bmatrix}
          0,9960 & -0,0037 \[2ex]
          0,0111 & 0,9867
          end{bmatrix}
          endgroup} & , & overbrace{begingroup
          setlength{arraycolsep}{2.5pt}
          begin{bmatrix}
          0,9961 & -0,0059 \[2ex]
          0,0715 & 1,0423
          end{bmatrix}
          endgroup} & , & overbrace{begingroup
          setlength{arraycolsep}{2.5pt}
          begin{bmatrix}
          1,0034 & 0,0009 \[2ex]
          0,0098 & 0,9696
          end{bmatrix}
          endgroup}
          } nonumber
          end{eqnarray}

          end{document}


          enter image description here






          share|improve this answer
























          • @StevenSegletes, I tested your solution and it worked fine. Thank you by help.

            – Adriano
            1 min ago



















          0














          You don't really need kbordermatrix to obtain this layout. However, the matrix in the last column can't have a overbrace, so I added a vphantom of a similar matrix.



          I also propose a variant with inner medium-sizd matrices, with the mmatrix environment ftom nccmath. Last, I had to load icomma to have a correct spacing of the decimal comma.



          documentclass[brazil]{article}
          usepackage{amssymb, array, mathtools}
          usepackage{icomma, nccmath}
          newenvironment{bmmatrix}{medsizebmatrix}{endbmatrixendmedsize}

          begin{document}

          begin{align*}
          mathbf{A} & = renewcommand{arraystretch}{1.5}
          begin{pmatrix}
          ,smash[t]{overbrace{begin{bmatrix}
          0{,}9960 & -0,0037 \
          0,0111 & 0,9867
          end{bmatrix}}}
          &negthickspace{,}negthickspace! &
          smash[t]{overbrace{begin{bmatrix}
          0,9961 & -0,0059 \
          0,0715 & 1,0423
          end{bmatrix}}}
          &negthickspace{,}negthickspace! &
          {smash[t]{overbrace%
          {begin{bmatrix}
          1,0034 & 0,0009 \
          0,0098 & 0,9696
          end{bmatrix}}}}, vphantom{begin{bmatrix}, \ ,
          end{bmatrix}}
          end{pmatrix}\[2ex]
          mathbf{A} & = renewcommand{arraystretch}{1.5}
          begin{pmatrix}
          ,smash[t]{overbrace{begin{bmmatrix}
          0{,}9960 & -0,0037 \
          0,0111 & 0,9867
          end{bmmatrix}}}
          &negthickspace{,}negthickspace! &
          smash[t]{overbrace{begin{bmmatrix}
          0,9961 & -0,0059 \
          0,0715 & 1,0423
          end{bmmatrix}}}
          &negthickspace{,}negthickspace! &
          {smash[t]{overbrace%
          {begin{bmmatrix}
          1,0034 & 0,0009 \
          0,0098 & 0,9696
          end{bmmatrix}}}}, vphantom{begin{bmmatrix}, \ ,
          end{bmmatrix}}
          end{pmatrix}
          end{align*}

          end{document}


          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









            2














            Turn off arraystretch. Then, manually, add the desired space between rows.



            documentclass[brazil]{article}

            usepackage{amsfonts,amssymb,array,mathtools}
            usepackage{kbordermatrix}

            begin{document}
            begin{eqnarray}
            mathbf{A} & = &
            setlength{kbrowsep}{2pt}
            setlength{kbcolsep}{0pt}
            % renewcommand{arraystretch}{1.5}
            renewcommand{kbldelim}{(}
            renewcommand{kbrdelim}{)}
            kbordermatrix{
            omit & & , & & , & cr
            omit & overbrace{begingroup
            setlength{arraycolsep}{2.5pt}
            begin{bmatrix}
            0,9960 & -0,0037 \[2ex]
            0,0111 & 0,9867
            end{bmatrix}
            endgroup} & , & overbrace{begingroup
            setlength{arraycolsep}{2.5pt}
            begin{bmatrix}
            0,9961 & -0,0059 \[2ex]
            0,0715 & 1,0423
            end{bmatrix}
            endgroup} & , & overbrace{begingroup
            setlength{arraycolsep}{2.5pt}
            begin{bmatrix}
            1,0034 & 0,0009 \[2ex]
            0,0098 & 0,9696
            end{bmatrix}
            endgroup}
            } nonumber
            end{eqnarray}

            end{document}


            enter image description here






            share|improve this answer
























            • @StevenSegletes, I tested your solution and it worked fine. Thank you by help.

              – Adriano
              1 min ago
















            2














            Turn off arraystretch. Then, manually, add the desired space between rows.



            documentclass[brazil]{article}

            usepackage{amsfonts,amssymb,array,mathtools}
            usepackage{kbordermatrix}

            begin{document}
            begin{eqnarray}
            mathbf{A} & = &
            setlength{kbrowsep}{2pt}
            setlength{kbcolsep}{0pt}
            % renewcommand{arraystretch}{1.5}
            renewcommand{kbldelim}{(}
            renewcommand{kbrdelim}{)}
            kbordermatrix{
            omit & & , & & , & cr
            omit & overbrace{begingroup
            setlength{arraycolsep}{2.5pt}
            begin{bmatrix}
            0,9960 & -0,0037 \[2ex]
            0,0111 & 0,9867
            end{bmatrix}
            endgroup} & , & overbrace{begingroup
            setlength{arraycolsep}{2.5pt}
            begin{bmatrix}
            0,9961 & -0,0059 \[2ex]
            0,0715 & 1,0423
            end{bmatrix}
            endgroup} & , & overbrace{begingroup
            setlength{arraycolsep}{2.5pt}
            begin{bmatrix}
            1,0034 & 0,0009 \[2ex]
            0,0098 & 0,9696
            end{bmatrix}
            endgroup}
            } nonumber
            end{eqnarray}

            end{document}


            enter image description here






            share|improve this answer
























            • @StevenSegletes, I tested your solution and it worked fine. Thank you by help.

              – Adriano
              1 min ago














            2












            2








            2







            Turn off arraystretch. Then, manually, add the desired space between rows.



            documentclass[brazil]{article}

            usepackage{amsfonts,amssymb,array,mathtools}
            usepackage{kbordermatrix}

            begin{document}
            begin{eqnarray}
            mathbf{A} & = &
            setlength{kbrowsep}{2pt}
            setlength{kbcolsep}{0pt}
            % renewcommand{arraystretch}{1.5}
            renewcommand{kbldelim}{(}
            renewcommand{kbrdelim}{)}
            kbordermatrix{
            omit & & , & & , & cr
            omit & overbrace{begingroup
            setlength{arraycolsep}{2.5pt}
            begin{bmatrix}
            0,9960 & -0,0037 \[2ex]
            0,0111 & 0,9867
            end{bmatrix}
            endgroup} & , & overbrace{begingroup
            setlength{arraycolsep}{2.5pt}
            begin{bmatrix}
            0,9961 & -0,0059 \[2ex]
            0,0715 & 1,0423
            end{bmatrix}
            endgroup} & , & overbrace{begingroup
            setlength{arraycolsep}{2.5pt}
            begin{bmatrix}
            1,0034 & 0,0009 \[2ex]
            0,0098 & 0,9696
            end{bmatrix}
            endgroup}
            } nonumber
            end{eqnarray}

            end{document}


            enter image description here






            share|improve this answer













            Turn off arraystretch. Then, manually, add the desired space between rows.



            documentclass[brazil]{article}

            usepackage{amsfonts,amssymb,array,mathtools}
            usepackage{kbordermatrix}

            begin{document}
            begin{eqnarray}
            mathbf{A} & = &
            setlength{kbrowsep}{2pt}
            setlength{kbcolsep}{0pt}
            % renewcommand{arraystretch}{1.5}
            renewcommand{kbldelim}{(}
            renewcommand{kbrdelim}{)}
            kbordermatrix{
            omit & & , & & , & cr
            omit & overbrace{begingroup
            setlength{arraycolsep}{2.5pt}
            begin{bmatrix}
            0,9960 & -0,0037 \[2ex]
            0,0111 & 0,9867
            end{bmatrix}
            endgroup} & , & overbrace{begingroup
            setlength{arraycolsep}{2.5pt}
            begin{bmatrix}
            0,9961 & -0,0059 \[2ex]
            0,0715 & 1,0423
            end{bmatrix}
            endgroup} & , & overbrace{begingroup
            setlength{arraycolsep}{2.5pt}
            begin{bmatrix}
            1,0034 & 0,0009 \[2ex]
            0,0098 & 0,9696
            end{bmatrix}
            endgroup}
            } nonumber
            end{eqnarray}

            end{document}


            enter image description here







            share|improve this answer












            share|improve this answer



            share|improve this answer










            answered 2 hours ago









            Steven B. SegletesSteven B. Segletes

            162k9206418




            162k9206418













            • @StevenSegletes, I tested your solution and it worked fine. Thank you by help.

              – Adriano
              1 min ago



















            • @StevenSegletes, I tested your solution and it worked fine. Thank you by help.

              – Adriano
              1 min ago

















            @StevenSegletes, I tested your solution and it worked fine. Thank you by help.

            – Adriano
            1 min ago





            @StevenSegletes, I tested your solution and it worked fine. Thank you by help.

            – Adriano
            1 min ago











            0














            You don't really need kbordermatrix to obtain this layout. However, the matrix in the last column can't have a overbrace, so I added a vphantom of a similar matrix.



            I also propose a variant with inner medium-sizd matrices, with the mmatrix environment ftom nccmath. Last, I had to load icomma to have a correct spacing of the decimal comma.



            documentclass[brazil]{article}
            usepackage{amssymb, array, mathtools}
            usepackage{icomma, nccmath}
            newenvironment{bmmatrix}{medsizebmatrix}{endbmatrixendmedsize}

            begin{document}

            begin{align*}
            mathbf{A} & = renewcommand{arraystretch}{1.5}
            begin{pmatrix}
            ,smash[t]{overbrace{begin{bmatrix}
            0{,}9960 & -0,0037 \
            0,0111 & 0,9867
            end{bmatrix}}}
            &negthickspace{,}negthickspace! &
            smash[t]{overbrace{begin{bmatrix}
            0,9961 & -0,0059 \
            0,0715 & 1,0423
            end{bmatrix}}}
            &negthickspace{,}negthickspace! &
            {smash[t]{overbrace%
            {begin{bmatrix}
            1,0034 & 0,0009 \
            0,0098 & 0,9696
            end{bmatrix}}}}, vphantom{begin{bmatrix}, \ ,
            end{bmatrix}}
            end{pmatrix}\[2ex]
            mathbf{A} & = renewcommand{arraystretch}{1.5}
            begin{pmatrix}
            ,smash[t]{overbrace{begin{bmmatrix}
            0{,}9960 & -0,0037 \
            0,0111 & 0,9867
            end{bmmatrix}}}
            &negthickspace{,}negthickspace! &
            smash[t]{overbrace{begin{bmmatrix}
            0,9961 & -0,0059 \
            0,0715 & 1,0423
            end{bmmatrix}}}
            &negthickspace{,}negthickspace! &
            {smash[t]{overbrace%
            {begin{bmmatrix}
            1,0034 & 0,0009 \
            0,0098 & 0,9696
            end{bmmatrix}}}}, vphantom{begin{bmmatrix}, \ ,
            end{bmmatrix}}
            end{pmatrix}
            end{align*}

            end{document}


            enter image description here






            share|improve this answer




























              0














              You don't really need kbordermatrix to obtain this layout. However, the matrix in the last column can't have a overbrace, so I added a vphantom of a similar matrix.



              I also propose a variant with inner medium-sizd matrices, with the mmatrix environment ftom nccmath. Last, I had to load icomma to have a correct spacing of the decimal comma.



              documentclass[brazil]{article}
              usepackage{amssymb, array, mathtools}
              usepackage{icomma, nccmath}
              newenvironment{bmmatrix}{medsizebmatrix}{endbmatrixendmedsize}

              begin{document}

              begin{align*}
              mathbf{A} & = renewcommand{arraystretch}{1.5}
              begin{pmatrix}
              ,smash[t]{overbrace{begin{bmatrix}
              0{,}9960 & -0,0037 \
              0,0111 & 0,9867
              end{bmatrix}}}
              &negthickspace{,}negthickspace! &
              smash[t]{overbrace{begin{bmatrix}
              0,9961 & -0,0059 \
              0,0715 & 1,0423
              end{bmatrix}}}
              &negthickspace{,}negthickspace! &
              {smash[t]{overbrace%
              {begin{bmatrix}
              1,0034 & 0,0009 \
              0,0098 & 0,9696
              end{bmatrix}}}}, vphantom{begin{bmatrix}, \ ,
              end{bmatrix}}
              end{pmatrix}\[2ex]
              mathbf{A} & = renewcommand{arraystretch}{1.5}
              begin{pmatrix}
              ,smash[t]{overbrace{begin{bmmatrix}
              0{,}9960 & -0,0037 \
              0,0111 & 0,9867
              end{bmmatrix}}}
              &negthickspace{,}negthickspace! &
              smash[t]{overbrace{begin{bmmatrix}
              0,9961 & -0,0059 \
              0,0715 & 1,0423
              end{bmmatrix}}}
              &negthickspace{,}negthickspace! &
              {smash[t]{overbrace%
              {begin{bmmatrix}
              1,0034 & 0,0009 \
              0,0098 & 0,9696
              end{bmmatrix}}}}, vphantom{begin{bmmatrix}, \ ,
              end{bmmatrix}}
              end{pmatrix}
              end{align*}

              end{document}


              enter image description here






              share|improve this answer


























                0












                0








                0







                You don't really need kbordermatrix to obtain this layout. However, the matrix in the last column can't have a overbrace, so I added a vphantom of a similar matrix.



                I also propose a variant with inner medium-sizd matrices, with the mmatrix environment ftom nccmath. Last, I had to load icomma to have a correct spacing of the decimal comma.



                documentclass[brazil]{article}
                usepackage{amssymb, array, mathtools}
                usepackage{icomma, nccmath}
                newenvironment{bmmatrix}{medsizebmatrix}{endbmatrixendmedsize}

                begin{document}

                begin{align*}
                mathbf{A} & = renewcommand{arraystretch}{1.5}
                begin{pmatrix}
                ,smash[t]{overbrace{begin{bmatrix}
                0{,}9960 & -0,0037 \
                0,0111 & 0,9867
                end{bmatrix}}}
                &negthickspace{,}negthickspace! &
                smash[t]{overbrace{begin{bmatrix}
                0,9961 & -0,0059 \
                0,0715 & 1,0423
                end{bmatrix}}}
                &negthickspace{,}negthickspace! &
                {smash[t]{overbrace%
                {begin{bmatrix}
                1,0034 & 0,0009 \
                0,0098 & 0,9696
                end{bmatrix}}}}, vphantom{begin{bmatrix}, \ ,
                end{bmatrix}}
                end{pmatrix}\[2ex]
                mathbf{A} & = renewcommand{arraystretch}{1.5}
                begin{pmatrix}
                ,smash[t]{overbrace{begin{bmmatrix}
                0{,}9960 & -0,0037 \
                0,0111 & 0,9867
                end{bmmatrix}}}
                &negthickspace{,}negthickspace! &
                smash[t]{overbrace{begin{bmmatrix}
                0,9961 & -0,0059 \
                0,0715 & 1,0423
                end{bmmatrix}}}
                &negthickspace{,}negthickspace! &
                {smash[t]{overbrace%
                {begin{bmmatrix}
                1,0034 & 0,0009 \
                0,0098 & 0,9696
                end{bmmatrix}}}}, vphantom{begin{bmmatrix}, \ ,
                end{bmmatrix}}
                end{pmatrix}
                end{align*}

                end{document}


                enter image description here






                share|improve this answer













                You don't really need kbordermatrix to obtain this layout. However, the matrix in the last column can't have a overbrace, so I added a vphantom of a similar matrix.



                I also propose a variant with inner medium-sizd matrices, with the mmatrix environment ftom nccmath. Last, I had to load icomma to have a correct spacing of the decimal comma.



                documentclass[brazil]{article}
                usepackage{amssymb, array, mathtools}
                usepackage{icomma, nccmath}
                newenvironment{bmmatrix}{medsizebmatrix}{endbmatrixendmedsize}

                begin{document}

                begin{align*}
                mathbf{A} & = renewcommand{arraystretch}{1.5}
                begin{pmatrix}
                ,smash[t]{overbrace{begin{bmatrix}
                0{,}9960 & -0,0037 \
                0,0111 & 0,9867
                end{bmatrix}}}
                &negthickspace{,}negthickspace! &
                smash[t]{overbrace{begin{bmatrix}
                0,9961 & -0,0059 \
                0,0715 & 1,0423
                end{bmatrix}}}
                &negthickspace{,}negthickspace! &
                {smash[t]{overbrace%
                {begin{bmatrix}
                1,0034 & 0,0009 \
                0,0098 & 0,9696
                end{bmatrix}}}}, vphantom{begin{bmatrix}, \ ,
                end{bmatrix}}
                end{pmatrix}\[2ex]
                mathbf{A} & = renewcommand{arraystretch}{1.5}
                begin{pmatrix}
                ,smash[t]{overbrace{begin{bmmatrix}
                0{,}9960 & -0,0037 \
                0,0111 & 0,9867
                end{bmmatrix}}}
                &negthickspace{,}negthickspace! &
                smash[t]{overbrace{begin{bmmatrix}
                0,9961 & -0,0059 \
                0,0715 & 1,0423
                end{bmmatrix}}}
                &negthickspace{,}negthickspace! &
                {smash[t]{overbrace%
                {begin{bmmatrix}
                1,0034 & 0,0009 \
                0,0098 & 0,9696
                end{bmmatrix}}}}, vphantom{begin{bmmatrix}, \ ,
                end{bmmatrix}}
                end{pmatrix}
                end{align*}

                end{document}


                enter image description here







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                answered 1 hour ago









                BernardBernard

                176k778210




                176k778210






























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