如何才能使矩阵方程变得更小，以便它能放在一页的一行中？

Question

我使用乳胶写出了以下矩阵方程。

\documentclass[a4paper, 12 pt]{report}
\usepackage{amsmath}
\usepackage{amssymb}
\usepackage[top=1in, bottom=1in, left=1.5in, right=1in]{geometry}
\begin{document}

   \[
\begin{bmatrix}
   \frac{-\beta_2}{\bx} & \frac{\beta_1}{\bx} \\
   \addlinespace
   -\frac{1}{\bx} & \frac{1}{\bx}
\end{bmatrix}
\begin{bmatrix} 
   1 & -\beta_1 \\ 
   1 & -\beta_2 
\end{bmatrix}
\begin{bmatrix} 
   \mathrm{q}_t \\ \mathrm{p}_t 
\end{bmatrix} 
+
\begin{bmatrix}
   \frac{-\beta_2}{\bx} & \frac{\beta_1}{\bx} \\
   \addlinespace
   -\frac{1}{\bx} & \frac{1}{\bx}
\end{bmatrix}
\begin{bmatrix}
   -\alpha_1 & -\gamma_1 & 0 \\
   -\alpha_2 & 0 & -\gamma_2
\end{bmatrix}
\begin{bmatrix}
   1 \\ \mathrm{i}_t \\ \mathrm{r}_t 
\end{bmatrix}
=
\begin{bmatrix}
   \frac{-\beta_2}{\bx} & \frac{\beta_1}{\bx} \\
   \addlinespace
   -\frac{1}{\bx} & \frac{1}{\bx}
\end{bmatrix}
\begin{bmatrix}
   \varepsilon_{1t} \\ \varepsilon_{2t} 
\end{bmatrix}
\]

\end{document}

输出如下所示。它不在一行中出现。我怎样才能使它变小，以便出现在一行中？

Answer 1

我建议您用更简单的项来替换分数项，例如\kappa_0、\kappa_1和\kappa_2。

\documentclass{article}
\usepackage[margin=2.5cm]{geometry} % set textblock parameters suitably
\usepackage{amsmath} % for 'bmatrix' env.
\begin{document}
Put $\kappa_0=1/(\beta_1-\beta_2)$, $\kappa_1=\beta_1/(\beta_1-\beta_2)$, 
and $\kappa_2=\beta_2/(\beta_1-\beta_2)$. Then
\[
\begin{bmatrix}
   -\kappa_2 & \kappa_1 \\
   -\kappa_0 & \kappa_0
\end{bmatrix}
\begin{bmatrix} 
   1 & -\beta_1 \\ 
   1 & -\beta_2 
\end{bmatrix}
\begin{bmatrix} 
   \mathrm{q}_t \\ \mathrm{p}_t 
\end{bmatrix} 
+
\begin{bmatrix}
   -\kappa_2 & \kappa_1 \\
   -\kappa_0 & \kappa_0
\end{bmatrix}
\begin{bmatrix}
   -\alpha_1 & -\gamma_1 & 0 \\
   -\alpha_2 & 0 & -\gamma_2
\end{bmatrix}
\begin{bmatrix}
   1 \\ \mathrm{i}_t \\ \mathrm{r}_t 
\end{bmatrix}
=
\begin{bmatrix}
   -\kappa_2 & \kappa_1 \\
   -\kappa_0 & \kappa_0
\end{bmatrix}
\begin{bmatrix}
   \varepsilon_{1t} \\ \varepsilon_{2t} 
\end{bmatrix}\,.
\]

\end{document}