Never ever use
$$ … $$
to introduce unnumbered displayed equations. This is TeX syntax. The corresponding LaTeX syntax to use instead is
\[ … \]
. Besides bad spacing those environments are not affected by the
fleqn
option for the document class.
Please check your examples for functionality and minimal content. At first you should fix the error that you get.
Code: Select all
! Misplaced alignment tab character &.
l.13 \llbracket e^B \, V \, (e^B)^{tr} \! , &
\,\; e^B \, U \, (e^B)^{tr}...
Just drop the ampersand (alignment character).
But that doesn't help for the actual problem. I see no problem in using the automatic scaling mechanism.
Code: Select all
\documentclass[11pt,a4paper]{article}
\usepackage[T1]{fontenc}
\usepackage{amsmath}
\usepackage{stmaryrd}
\begin{document}
\[
\bigl\llbracket e^B \, V \, (e^B)^{tr} \! ,\,\; e^B \, U \, (e^B)^{tr} \bigr\rrbracket^{m n}=
\left\llbracket
\begin{bmatrix}
V' & -V \\
V & 0
\end{bmatrix},\,
\begin{bmatrix}
U' & -U \\
U & 0
\end{bmatrix}
\right\rrbracket
\]
\end{document}
For the first pair some manual adjustment has been used exemplary.
Further reading: