如何將矩陣元素對齊到特定符號？

Question

我想透過 \sum 符號來對齊 MWE 中描述的矩陣 - 我覺得它在當前格式中不是很「優雅」/可讀......我怎麼能做到這一點？先致謝！

    \documentclass[11pt,a4paper,twoside,openright]{book}

    \usepackage{IEEEtrantools}
    \usepackage{mathtools}

\begin{document}

    {
        \everymath{\displaystyle}
        \begin{IEEEeqnarray}{rCl}
            \label{inertia}
            I &=& \begin{vmatrix*}[l]
                I_{xx} & I_{xy} & I_{xz} \\
                I_{yx} & I_{yy} & I_{yz} \\
                I_{zx} & I_{zy} & I_{zz}
            \end{vmatrix*} \nonumber \\ &=& { \begin{vmatrix*}[l]
                    \sum_{i=1}^{n} m_{i}(y^{2}_{i}+z^{2}_{i}) & -\sum_{i=1}^{n} m_{i}x_{i}y_{i}            &-\sum_{i=1}^{n} m_{i}x_{i}z_{i} \\
                    -\sum_{i=1}^{n} m_{i}x_{i}y_{i}            &  \sum_{i=1}^{n} m_{i}(x^{2}_{i}+z^{2}_{i}) &-\sum_{i=1}^{n} m_{i}y_{i}z_{i} \\
                    -\sum_{i=1}^{n} m_{i}x_{i}z_{i}            & -\sum_{i=1}^{n} m_{i}y_{i}z_{i}            & \sum_{i=1}^{n} m_{i}(x^{2}_{i}+y^{2}_{i})
            \end{vmatrix*} } \IEEEeqnarraynumspace
        \end{IEEEeqnarray}
    }
\end{document}

Answer 1

您可以使用幻像：

\documentclass[11pt,a4paper,twoside,openright]{book}

\usepackage{IEEEtrantools}
\usepackage{mathtools}

\begin{document}

\begin{IEEEeqnarray}{rCl}
I &=& \begin{vmatrix*}[l]
      I_{xx} & I_{xy} & I_{xz} \\[1ex]
      I_{yx} & I_{yy} & I_{yz} \\[1ex]
      I_{zx} & I_{zy} & I_{zz}
      \end{vmatrix*} \nonumber \\
  &=& \everymath{\displaystyle}
      \begin{vmatrix*}[l]
      \hphantom{-}\sum_{i=1}^{n} m_{i}(y^{2}_{i}+z^{2}_{i}) &
      -\sum_{i=1}^{n} m_{i}x_{i}y_{i} &
      -\sum_{i=1}^{n} m_{i}x_{i}z_{i}
      \\[3ex]
      -\sum_{i=1}^{n} m_{i}x_{i}y_{i} &
      \hphantom{-}\sum_{i=1}^{n} m_{i}(x^{2}_{i}+z^{2}_{i}) &
      -\sum_{i=1}^{n} m_{i}y_{i}z_{i}
      \\[3ex]
      -\sum_{i=1}^{n} m_{i}x_{i}z_{i} &
      -\sum_{i=1}^{n} m_{i}y_{i}z_{i} &
      \hphantom{-}\sum_{i=1}^{n} m_{i}(x^{2}_{i}+y^{2}_{i})
      \end{vmatrix*}
      \IEEEeqnarraynumspace
\label{inertia}
\end{IEEEeqnarray}

\end{document}