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I'm a new user in texmaker. How can I produce this equation? Thank you for your help

enter image description here

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2 Answers 2

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\documentclass{article}
\usepackage{amsmath}

\begin{document}

\begin{gather}
 \begin{bmatrix} \Phi_{11} & \Phi_{12} \\ \Phi_{21} & \Phi_{22} \end{bmatrix}
 =
 \frac{1}{\det(X)}
  \begin{bmatrix}
   X_{22} Y_{11} - X_{12} Y_{21} &
   X_{22} Y_{12} - X_{12} Y_{22} \\
   X_{11} Y_{21} - X_{21} Y_{11} &
   X_{11} Y_{22} - X_{21} Y_{12} 
   \end{bmatrix}
\end{gather}

\end{document}

enter image description here

10

You can try this way:

\documentclass{article}
\usepackage{amsmath}

\begin{document}

\[
\begin{bmatrix}
\Phi_{11} & \Phi_{12}\\
\Phi_{21} & \Phi_{22}
\end{bmatrix}
=\frac{1}{\det (X)}
\begin{bmatrix}
X_{22} Y_{11} - X_{12} Y_{21} & X_{22} Y_{12} - X_{12} Y_{22}\\
X_{11} Y_{21} - X_{21} Y_{11} & X_{11} Y_{22} - X_{21} Y_{12}
\end{bmatrix}
\]

\end{document}
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