Multipling matrices over a number of lines

Question

I am currently having a problem with multiplying matrices over a number of lines, my code is as follows:

\documentclass{article}
\usepackage[utf8]{inputenc}
\usepackage[a4paper, total={6in, 8in}]{geometry}
\usepackage{bm}
\usepackage{amsmath}
\begin{document}
\begin{align}
= \min tr \left { \begin{bmatrix}
d_1 & 0 & \cdots & 0\ 
0 & d_2 & \cdots & 0\ 
\vdots  & \vdots & \ddots  & \vdots\ 
0 & 0 & 0 & d_p\ 
0 & 0 & \cdots & 0
\end{bmatrix} \left (\begin{bmatrix}
1 & 0 & \cdots & 0\ 
0 & 1 & \cdots & 0\ 
\vdots  & \vdots & \ddots  & \vdots\ 
0 & 0 & 0 & 1\ 
0 & 0 & \cdots & 0
\end{bmatrix} - \begin{bmatrix}
1 & 0 & \cdots & 0\ 
0 & 1 & \cdots & 0\ 
\vdots  & \vdots & \ddots  & \vdots\ 
0 & 0 & 0 & 0\ 
0 & 0 & \cdots & 0
\end{bmatrix} \right ) \
 \begin{bmatrix}
d_1 & 0 & \cdots & 0\ 
0 & d_2 & \cdots & 0\ 
\vdots  & \vdots & \ddots  & \vdots\ 
0 & 0 & 0 & d_p\ 
0 & 0 & \cdots & 0
\end{bmatrix} 
 \left(\begin{bmatrix}
1 & 0 & \cdots & 0\ 
0 & 1 & \cdots & 0\ 
\vdots  & \vdots & \ddots  & \vdots\ 
0 & 0 & 0 & 1\ 
0 & 0 & \cdots & 0
\end{bmatrix} - \begin{bmatrix}
1 & 0 & \cdots & 0\ 
0 & 1 & \cdots & 0\ 
\vdots  & \vdots & \ddots  & \vdots\ 
0 & 0 & 0 & 0\ 
0 & 0 & \cdots & 0
\end{bmatrix} \right) \right }
\end{align}
\end{document}

Ideally I would want all of them in the same line, but since they are too long, I have to use multiple lines.
It seems like the problem might be with the curly bracket at the end.

I have tried to implement what is suggested here and have also tried using multiline, but have not been successful.

I am fairly new to latex, so apologies if this question has a very simple answer.
Thank you!

you can not break the line between \left and \right, use `\bigl{ and \bigr} also please post the example in a form that we can run without guessing the needed preamble and page size. — David Carlisle, Jun 11 '20 at 16:52
Thank you @DavidCarlisle I have added the preamble and page size. — Stochastic, Jun 11 '20 at 17:44

score 2 · Accepted Answer · answered Jun 11 '20 at 17:45

I guess that this is part of a bigger display. Since all objects have the same height, you can use \right. and \left. to insert “empty delimiters”.

\documentclass{article}
\usepackage{amsmath}
\begin{document}
\begin{align}
&= \min \operatorname{tr}
\left {
  \begin{bmatrix}
  d_1 & 0 & \cdots & 0\ 
  0 & d_2 & \cdots & 0\ 
  \vdots  & \vdots & \ddots  & \vdots\ 
  0 & 0 & 0 & d_p\ 
  0 & 0 & \cdots & 0
  \end{bmatrix}
  \left(
    \begin{bmatrix}
    1 & 0 & \cdots & 0\ 
    0 & 1 & \cdots & 0\ 
    \vdots  & \vdots & \ddots  & \vdots\ 
    0 & 0 & 0 & 1\ 
    0 & 0 & \cdots & 0
    \end{bmatrix} -
    \begin{bmatrix}
    1 & 0 & \cdots & 0\ 
    0 & 1 & \cdots & 0\ 
    \vdots  & \vdots & \ddots  & \vdots\ 
    0 & 0 & 0 & 0\ 
    0 & 0 & \cdots & 0
    \end{bmatrix}
  \right )
\right.
\
&\hspace{6em}\left.
  \begin{bmatrix}
  d_1 & 0 & \cdots & 0\ 
  0 & d_2 & \cdots & 0\ 
  \vdots  & \vdots & \ddots  & \vdots\ 
  0 & 0 & 0 & d_p\ 
  0 & 0 & \cdots & 0
  \end{bmatrix} 
  \left(
    \begin{bmatrix}
    1 & 0 & \cdots & 0\ 
    0 & 1 & \cdots & 0\ 
    \vdots  & \vdots & \ddots  & \vdots\ 
    0 & 0 & 0 & 1\ 
    0 & 0 & \cdots & 0
    \end{bmatrix} -
    \begin{bmatrix}
    1 & 0 & \cdots & 0\ 
    0 & 1 & \cdots & 0\ 
    \vdots  & \vdots & \ddots  & \vdots\ 
    0 & 0 & 0 & 0\ 
    0 & 0 & \cdots & 0
    \end{bmatrix}
  \right)
\right }
\end{align}
\end{document}

Thanks a lot @egreg this answers my question, really appreciate it! — Stochastic, Jun 11 '20 at 17:53

Multipling matrices over a number of lines

1 Answers1