Write LaTeX display equations with no numbering in Org mode

The variable org-format-latex-options’s :matchers field is used to configure how Org mode detects a LaTeX fragment. However, according to the comment of the function org-inside-LaTeX-fragment-p,

Even though the matchers for math are configurable, this function assumes that \\begin, \\(, \\[, and $$ are always used. Only the single dollar delimiters are skipped when they have been removed by customization.

Therefore, Org mode always tries to recognize the outer-most \begin{environment-name}...\end{environment-name} as a display equation and everything between them as the environment contents. This behavior makes Org mode unable to correctly render the following equation.

Example 1: the first environment name pmatrix happens to be the same as the second one, then the LaTeX fragment image can be generated, but still \[ ... \] are left behind.

\[
  \begin{pmatrix}a & b \\ c & d \end{pmatrix} + 
  \begin{pmatrix}a & b \\ c & d \end{pmatrix}
\]

Example 2: the first environment name pmatrix does match the second one bmatrix, Org mode then reports an error and does not produce any image.

\[
  \begin{pmatrix}a & b \\ c & d \end{pmatrix} + 
  \begin{bmatrix}a & b \\ c & d \end{bmatrix}
\]

Open the temporary LaTeX file, we can see there nothing after \begin{pmatrix}.

{\color{fg}
\begin{pmatrix}%
}

\end{document}

Solution to the above problem: always use \begin{equation*} ... \end{equation*} to write display equations with no numbering in Org mode.

\begin{equation*}
  \begin{pmatrix}a & b \\ c & d \end{pmatrix} + 
  \begin{bmatrix}a & b \\ c & d \end{bmatrix}
\end{equation*}