绘制链式复合体？

Question

为了实现同源性，我必须在 LaTex 中用长箭头绘制矩阵。我不知道代码。请帮我解决。

Answer 1

和matrix

\documentclass{article}
\usepackage {amsmath,amssymb}
\begin{document}
\[
0 \leftarrow \Bbbk
 \xleftarrow[\partial_0]{%
    \begin{bmatrix}
        1&1&1&1&1
    \end{bmatrix}}%
    \Bbbk^5 
    \xleftarrow[\partial_1]{%
        \begin{bmatrix}
        -1&-1&0&0&0\\
         1&0&-1&-1&0\\
        0&1&1&0&-1\\
        -0&0&0&1&1\\
        0&0&0&0&0
        \end{bmatrix}}
    \Bbbk^5 
    \xleftarrow[\partial_2]{%
        \begin{bmatrix}
        1\\-1\\1\\0\\0
        \end{bmatrix}}
    \Bbbk 
    \leftarrow 0
\]  
\end{document}

和array

\documentclass{article}
\usepackage {amsmath,amssymb}
\begin{document}
\[
0 \leftarrow \Bbbk
 \xleftarrow[\partial_0]{%
    \left[\begin{array}{ccccc}
        1&1&1&1&1
    \end{array}\right]}%
    \Bbbk^5 
    \xleftarrow[\partial_1]{%
        \left[\begin{array}{rrrrr}
        -1&-1&0&0&0\\
         1&0&-1&-1&0\\
        0&1&1&0&-1\\
        -0&0&0&1&1\\
        0&0&0&0&0
        \end{array}\right]}
    \Bbbk^5 
    \xleftarrow[\partial_2]{%
        \left[\begin{array}{r}
        1\\-1\\1\\0\\0
        \end{array}\right]}
    \Bbbk 
    \leftarrow 0
\]  
\end{document}

来自：bsmallmatrix​mathtools

\documentclass{article}
\usepackage{amsmath,mathtools,amssymb}
\begin{document}
\[
0 \leftarrow \Bbbk
 \xleftarrow[\partial_0]{%
    \begin{bsmallmatrix}
        1&1&1&1&1
    \end{bsmallmatrix}}%
    \Bbbk^5 
    \xleftarrow[\partial_1]{%
        \begin{bsmallmatrix}
        -1&-1&0&0&0\\
         1&0&-1&-1&0\\
        0&1&1&0&-1\\
        -0&0&0&1&1\\
        0&0&0&0&0
        \end{bsmallmatrix}}
    \Bbbk^5 
    \xleftarrow[\partial_2]{%
        \begin{bsmallmatrix}
        1\\-1\\1\\0\\0
        \end{bsmallmatrix}}
    \Bbbk 
    \leftarrow 0
\]  
\end{document}