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How do I create a Toeplitz matrix like the following in LaTeX?

matrix

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Thanks a lot my friend –  tanha Apr 29 at 8:10

2 Answers 2

\documentclass{article}
\usepackage{mathtools}
\begin{document}

\[ %\arraycolsep=4pt
 G = 
 \begin{bmatrix*}[r]
    1 \\
    2&1\\
   -1&2&1\\
     &-1&2&1\\
     &&-1&2&1\\
     &&&-1&2&1\\
     &&&&&&\ddots\\
     &&&&&&&\ddots\\
     &&&&&&&&\ddots\\
     &&&&&&&&&1
  \end{bmatrix*}
\]
\end{document}

enter image description here

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1  
I think the last row must contain all non-zero elements: -1 2 1 –  Robert Fuster Apr 28 at 9:00
    
Thanks a lot my friend –  tanha Apr 29 at 8:10

Here you go:

\documentclass{article}
\pagestyle{empty}% for cropping
\usepackage{amsmath}
\begin{document}
\begin{equation*}
  G =
  \begin{bmatrix}
    1 \cr
    2&1\cr
    -1&2&1\cr
    &-1&2&1\cr
    &&-1&2&1\cr
    &&&-1&2&1\cr
    &&&&&&\ddots\cr
    &&&&&&&\ddots\cr
    &&&&&&&&\ddots\cr
    &&&&&&&&&1\cr
  \end{bmatrix}
\end{equation*}
\end{document}

enter image description here

To get nicer alignment of the minus-signs you could use an array with right-aligned columns

\documentclass{article}
\pagestyle{empty}% for cropping
\usepackage{amsmath}
\begin{document}
\begin{equation*}
  G =
  \left[
    \begin{array}{*{10}r}
      1 \cr
      2&1\cr
      -1&2&1\cr
      &-1&2&1\cr
      &&-1&2&1\cr
      &&&-1&2&1\cr
      &&&&&&\ddots\cr
      &&&&&&&\ddots\cr
      &&&&&&&&\ddots\cr
      &&&&&&&&&1\cr
    \end{array}
  \right]
\end{equation*}
\end{document}

enter image description here

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2  
to get the right alignment, it's simpler to load the mathtools package and write: begin{bmatrix*}[r] … \end{bmatrix*}. –  Bernard Apr 28 at 8:36
    
Is there a reason to use \cr instead of `\`? –  Manuel Apr 28 at 14:53
1  
@Manuel Because I often use plain TeX and there is no \\. In this case both are equivalent. Also \cr is primitive, hence it doesn't need to get expanded, you may save half a nano-second by that. –  Henri Menke Apr 28 at 15:06
    
Thanks a lot my friend –  tanha Apr 29 at 8:10

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