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在投影机中安装阵列

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在投影机中安装阵列

我想让数组适合幻灯片的宽度。

\documentclass[aspectratio=169,xcolor=table]{beamer}
\definecolor{lava}{rgb}{0.81, 0.06, 0.13}
\definecolor{myblue}{rgb}{0.0, 0.30, 0.60}
\newcommand\x[1]{\color{myblue}{\mathbf{#1}}}
\newcommand\y[1]{\color{lava}{\mathbf{#1}}}
\usefonttheme{serif}
\begin{document}


\begin{frame}{Matrix Inverses}

\underline{Understanding Elementary Matrices}
\begin{itemize}
\item if $\mathbf{A}=   \left[ \begin{array}{rrrr}
 a & b & c \\
d    &e &f  \\
g & h & i \\
\end{array}\right],$ then $\ldots$
\item[]

$
\mathbf{E}_1\mathbf{A}=\setlength\arraycolsep{4pt}
   \left[
\begin{array}{rrrr}
 \underline{ 1}\rlap{\underline{~~~~}}  & \underline{0} \rlap{\underline{~~~~}} & \underline{ 0} \\
0     & 1 & 0   \\
  \x{ -4}  & \x{\ 0}  &\x 1  \\
\end{array}
\right]
\left[ \begin{array}{rrrr}
 a & b & c \\
d    &e &f  \\
g & h & i \\
\end{array}\right]= \onslide<2->{\hspace{-3em}
\renewcommand\arraystretch{0.25}
\left[ \begin{array}{llllll}
\pause 1\times a \pause +0 \times d \pause +0 \times g & =\y a 
& \pause 1\times b \pause +0 \times e \pause +1\times h \pause &=\y b 
& \pause 1\times c \pause +0 \times f \pause +0 \times i \pause & =\y c \pause \\ 
\pause 0 \times a \pause +1 \times d \pause +0 \times g & =\y d 
& \pause 0 \times b \pause +1 \times e \pause +0\times h \pause & =\y e
& \pause 0 \times c \pause +1 \times f \pause +0\times i \pause&  =\y h \pause \\ 
\pause \x{-4} \times a \pause + \x{0} \times d \pause + \x{1}\times g & =\y{-4a+g}
& \pause \x{-4} \times b \pause + \x{0}  \times e \pause +\x{1} \times h \pause & =\y{-4b+h}
& \pause \x{-4}\times c \pause + \x{0}  \times f \pause +\x{1} \times i \pause & =\y{-4c+i}\pause \\ 


\end{array}\right]}
$
\end{itemize}
\end{frame}
\end{document}

答案1

为了让 3x3 数组适合幻灯片，我认为有必要将长度参数\arraycolsep、\medmuskip和设置\thickmuskip为接近或等于零。要么这样做，要么减小字体大小。我认为将长度参数缩小到接近零是两害相权取其轻。

以下截图显示了文档第 37 页（即最后一页）的输出。请注意，我将数组的布局从 更改llllll为rlrlrl。

在此处输入图片描述

\documentclass[aspectratio=169,xcolor=table]{beamer}
\definecolor{lava}{rgb}{0.81, 0.06, 0.13}
\definecolor{myblue}{rgb}{0.0, 0.30, 0.60}
\newcommand\x[1]{\textcolor{myblue}{\mathbf{#1}}}
\newcommand\y[1]{\textcolor{lava}{\mathbf{#1}}}
\usefonttheme{serif}

\usepackage{mathtools} % for 'bmatrix*' env.
\begin{document}

\begin{frame}[t]{Matrix Inverses}

\underline{Understanding Elementary Matrices}

\bigskip
If $\mathbf{A}=   
\begin{bmatrix*}[r]
  a & b & c \\
  d & e & f  \\
\,g & h & i 
\end{bmatrix*}$, then $\ldots$

\bigskip

$\mathbf{E}_1\mathbf{A}=
\begin{bmatrix*}[r]
 \underline{1} \rlap{\underline{~~~~}} & 
 \underline{0} \rlap{\underline{~~~~}} & 
 \underline{0} \\
 0 & 1 & 0     \\
 \x{-4} & \x{0} & \x 1  
\end{bmatrix*}
\begin{bmatrix*}[r]
  a & b & c  \\
  d & e & f  \\
\,g & h & i 
\end{bmatrix*}= $

\medskip

\onslide<2->{\hspace*{-2em}
\setlength\arraycolsep{1pt}
\medmuskip=0mu  % spacing around binary operators
\thickmuskip0mu % spacing around relational operators
$\left[\begin{array}{@{} rlrlrl @{}}
  \pause 1 \times a \pause +0 \times d \pause +0 \times g \pause               &= \kern2pt \y a 
& \pause 1 \times b \pause +0 \times e \pause +0 \times h \pause               &= \kern2pt \y b 
& \pause 1 \times c \pause +0 \times f \pause +0 \times i \pause               &= \kern2pt \y c \\ 
  \pause 0 \times a \pause +1 \times d \pause +0 \times g \pause               &= \kern2pt \y d 
& \pause 0 \times b \pause +1 \times e \pause +0 \times h \pause               &= \kern2pt \y e
& \pause 0 \times c \pause +1 \times f \pause +0 \times i \pause               &= \kern2pt \y f \\ 
  \pause \x{-4} \times a \pause + \x{0} \times d \pause +\x{1} \times g \pause &= \kern2pt \y{-4a+g}\kern6pt
& \pause \x{-4} \times b \pause + \x{0} \times e \pause +\x{1} \times h \pause &= \kern2pt \y{-4b+h}\kern6pt
& \pause \x{-4} \times c \pause + \x{0} \times f \pause +\x{1} \times i \pause &= \kern2pt \y{-4c+i}\kern2pt
\end{array}\right]$
}

\end{frame}
\end{document}

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