Border matrix with multiple indices on top and bottom

Question

How can I write a matrix where there is an index at the top and also at the bottom? \bordermatrix doesn't seem to have an option for multiple indices.

Answer 1

An example using the blkarray package:

\documentclass[12pt]{report}
\usepackage{blkarray}
\usepackage{amsmath}

\begin{document}

\[
\begin{blockarray}{cccccc}
c_1 & c_2 & c_3 & c_4 & c_5 \\
\begin{block}{(ccccc)c}
  1 & 1 & 1 & 1 & 1  \\
  0 & 1 & 0 & 0 & 1  \\
  0 & 0 & 1 & 0 & 1  \\
  0 & 0 & 0 & 1 & 1  \\
  0 & 0 & 0 & 0 & 1  \\
\end{block}
d_1 & d_2 & d_3 & d_4 & d_5 \\
\end{blockarray}
 \]

\end{document}

Answer 2

A TikZ based solution:

\documentclass{article}
\usepackage{amsmath,amssymb}

\usepackage{tikz}
\usetikzlibrary{matrix,calc}

\begin{document}
\begin{align*}
P&=
\begin{tikzpicture}[baseline=-\the\dimexpr\fontdimen22\textfont2\relax ]
\matrix(m)[matrix of math nodes,left delimiter=(,right delimiter=),inner sep=4pt,ampersand replacement=\&]
{
x_1 \&  y_1 \& s_1 \&  z_1 \\
x_2 \&  y_2 \& s_2 \&  z_2 \\
x_3 \&  y_3 \& s_3 \&  z_3 \\
x_4 \&  y_4 \& s_4 \&  z_4 \\
};
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\foreach \s/\stext in {m-4-1/1,m-4-2/2,m-4-3/3,m-4-4/4}{
% bottom index
\node[red,shift=(\s.south),yshift=-0.4cm](0,0) {$a_{\stext}$} ;
}
\foreach \n/\ntext in {m-1-1/1,m-1-2/2,m-1-3/3,m-1-4/4}{
% top index
\node[blue,shift=(\n.north),yshift=0.4cm](0,0) {$b_{\ntext}$} ;
}
\end{tikzpicture}
\end{align*}

\end{document}

IMPROVEMENT

In his comment percusse suggested a very nice way of make foreachs simpler: here is the previous example enhanced.

\documentclass{article}
\usepackage{amsmath,amssymb}
\usepackage{tikz}
\usetikzlibrary{matrix,calc}
\begin{document}

\begin{align*}
P&=
\begin{tikzpicture}[baseline=-\the\dimexpr\fontdimen22\textfont2\relax ]
\matrix(m)[matrix of math nodes,left delimiter=(,right delimiter=),inner sep=4pt,ampersand replacement=\&]
{
x_1 \&  y_1 \& s_1 \&  z_1 \\
x_2 \&  y_2 \& s_2 \&  z_2 \\
x_3 \&  y_3 \& s_3 \&  z_3 \\
x_4 \&  y_4 \& s_4 \&  z_4 \\
};
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\foreach \s in {1,2,...,4}{
% bottom index
\node[red,shift=(m-4-\s.south),yshift=-0.4cm](0,0) {$a_{\s}$};
}
\foreach \n in {1,2,...,4}{
% top index
\node[blue,shift=(m-1-\n.north),yshift=0.4cm](0,0) {$b_{\n}$} ;
}
\end{tikzpicture}
\end{align*}

\end{document}

Answer 3

Maybe this work

\documentclas{article}
\usepackage{amsmath}
\usepackage{color}
\begin{document}
\begin{align*}
P=\begin{array}{c}
\textcolor{blue}{ \begin{array}{c@{\hspace{13pt}}c@{\hspace{13pt}}c@{\hspace{13pt}}c@{\hspace{13pt}}c@{\hspace{13pt}}c}
    y_1 & y_2 & y_3 & y_4 & y_5 & y_6    
\end{array}}\\[5pt]
\begin{bmatrix}
    0.9 &  0  &  0  &  0  &  0  &  0 \\
    1  & 0.4 & 0.5 &  0  &  0  &  0 \\
    0  &  0  &  1  &  0  &  0  &  0 \\
    0  &  0  & 0.2 &  1  &  0  &  0 \\
    0  &  0  &  0  & 0.4 & 0.5 & 0.2
    \end{bmatrix}
  \end{array}
\end{align*}
\end{document}