[Tex/LaTex] Matrix equation

equationsmatrices

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

enter image description here

Best Answer

\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

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