如何将矩阵重写为页面的大小？

Question

我有一个如下的大矩阵：

\begin{equation*}
\left[ \begin{array}{rrrrrrrrrr}
0 & 0 & 0 & 0 & 0 & 0 & \vdots & 0 & 0 & 1 \\
-\frac{5039}{201600} & -\frac{313}{1575} & \frac{347}{1120} & -\frac{1622}{1575} & \frac{20331}{22400} & -\frac{47}{360} & \vdots & \frac{1}{4} & 0 & \frac{3}{4} \\
\frac{5723}{20160} & \frac{8}{7} & -\frac{3809}{1680} & \frac{788}{105} & -\frac{14823}{2240} & \frac{1201}{1260} & \vdots & 0 & 2 & -1 \\
\frac{1729}{491520} & \frac{10163}{61440} & \frac{1929}{8192} & -\frac{529}{1920} & \frac{33777}{163840} & -\frac{277}{12288} & \vdots & \frac{15}{8} & -\frac{5}{4} & \frac{3}{8} \\
\frac{271}{52488} & \frac{1616}{6561} & \frac{1613}{4374} & -\frac{2720}{6561} & \frac{205}{648} & -\frac{230}{6561} & \vdots & \frac{20}{9} & -\frac{16}{9} & \frac{5}{9} \\
\frac{11}{1200} & \frac{67}{150} & \frac{3}{4} & -\frac{56}{75} & \frac{243}{400} & -\frac{1}{5} & \vdots & 3 & -3 & 1 \\
\ldots & \ldots & \ldots & \ldots & \ldots & \ldots & \ldots & \ldots & \ldots & \ldots \\
\frac{11}{1200} & \frac{167}{150} & \frac{3}{4} & -\frac{56}{75} & \frac{243}{400} & -\frac{1}{5} & \vdots & 3 & -3 & 1 \\
\frac{5723}{20160} & \frac{8}{7} & -\frac{3809}{1680} & \frac{788}{105} & -\frac{14823}{2240} & \frac{1201}{1260} & \vdots & 0 & 2 & -1 \\
-\frac{5039}{201600} & -\frac{313}{1575} & \frac{347}{1120} & -\frac{1622}{1575} & \frac{20331}{22400} & -\frac{47}{360} & \vdots & \frac{1}{4} & 0 & \frac{3}{4}
\end{array} \right].
\end{equation*}

问题。有人能告诉我如何调整矩阵大小吗？我需要将尺寸减小 1.5 英寸。

Answer 1

您可以使用\bsmallmatrix来自mathtools。

\documentclass{article}
%\usepackage{amsmath}% Loaded by mathtools
\usepackage{mathtools}
\begin{document}
\begin{equation*}
  \left[ \begin{array}{rrrrrrrrrr}
      0 & 0 & 0 & 0 & 0 & 0 & \vdots & 0 & 0 & 1 \\
      -\frac{5039}{201600} & -\frac{313}{1575} & \frac{347}{1120} & -\frac{1622}{1575} & \frac{20331}{22400} & -\frac{47}{360} & \vdots & \frac{1}{4} & 0 & \frac{3}{4} \\
      \frac{5723}{20160} & \frac{8}{7} & -\frac{3809}{1680} & \frac{788}{105} & -\frac{14823}{2240} & \frac{1201}{1260} & \vdots & 0 & 2 & -1 \\
      \frac{1729}{491520} & \frac{10163}{61440} & \frac{1929}{8192} & -\frac{529}{1920} & \frac{33777}{163840} & -\frac{277}{12288} & \vdots & \frac{15}{8} & -\frac{5}{4} & \frac{3}{8} \\
      \frac{271}{52488} & \frac{1616}{6561} & \frac{1613}{4374} & -\frac{2720}{6561} & \frac{205}{648} & -\frac{230}{6561} & \vdots & \frac{20}{9} & -\frac{16}{9} & \frac{5}{9} \\
      \frac{11}{1200} & \frac{67}{150} & \frac{3}{4} & -\frac{56}{75} & \frac{243}{400} & -\frac{1}{5} & \vdots & 3 & -3 & 1 \\
      \ldots & \ldots & \ldots & \ldots & \ldots & \ldots & \ldots & \ldots & \ldots & \ldots \\
      \frac{11}{1200} & \frac{167}{150} & \frac{3}{4} & -\frac{56}{75} & \frac{243}{400} & -\frac{1}{5} & \vdots & 3 & -3 & 1 \\
      \frac{5723}{20160} & \frac{8}{7} & -\frac{3809}{1680} & \frac{788}{105} & -\frac{14823}{2240} & \frac{1201}{1260} & \vdots & 0 & 2 & -1 \\
      -\frac{5039}{201600} & -\frac{313}{1575} & \frac{347}{1120} & -\frac{1622}{1575} & \frac{20331}{22400} & -\frac{47}{360} & \vdots & \frac{1}{4} & 0 & \frac{3}{4}
    \end{array} \right].
\end{equation*}

\begin{equation*}
  \begin{bsmallmatrix}
      0 & 0 & 0 & 0 & 0 & 0 & \vdots & 0 & 0 & 1 \\
      -\frac{5039}{201600} & -\frac{313}{1575} & \frac{347}{1120} & -\frac{1622}{1575} & \frac{20331}{22400} & -\frac{47}{360} & \vdots & \frac{1}{4} & 0 & \frac{3}{4} \\
      \frac{5723}{20160} & \frac{8}{7} & -\frac{3809}{1680} & \frac{788}{105} & -\frac{14823}{2240} & \frac{1201}{1260} & \vdots & 0 & 2 & -1 \\
      \frac{1729}{491520} & \frac{10163}{61440} & \frac{1929}{8192} & -\frac{529}{1920} & \frac{33777}{163840} & -\frac{277}{12288} & \vdots & \frac{15}{8} & -\frac{5}{4} & \frac{3}{8} \\
      \frac{271}{52488} & \frac{1616}{6561} & \frac{1613}{4374} & -\frac{2720}{6561} & \frac{205}{648} & -\frac{230}{6561} & \vdots & \frac{20}{9} & -\frac{16}{9} & \frac{5}{9} \\
      \frac{11}{1200} & \frac{67}{150} & \frac{3}{4} & -\frac{56}{75} & \frac{243}{400} & -\frac{1}{5} & \vdots & 3 & -3 & 1 \\
      \ldots & \ldots & \ldots & \ldots & \ldots & \ldots & \ldots & \ldots & \ldots & \ldots \\
      \frac{11}{1200} & \frac{167}{150} & \frac{3}{4} & -\frac{56}{75} & \frac{243}{400} & -\frac{1}{5} & \vdots & 3 & -3 & 1 \\
      \frac{5723}{20160} & \frac{8}{7} & -\frac{3809}{1680} & \frac{788}{105} & -\frac{14823}{2240} & \frac{1201}{1260} & \vdots & 0 & 2 & -1 \\
      -\frac{5039}{201600} & -\frac{313}{1575} & \frac{347}{1120} & -\frac{1622}{1575} & \frac{20331}{22400} & -\frac{47}{360} & \vdots & \frac{1}{4} & 0 & \frac{3}{4}
    \end{bsmallmatrix}
\end{equation*}
\end{document}