[tex]\begin{vmatrix} a_{00} & a_{01} & a_{02} & a_{03}\\ a_{10} & a_{11} & a_{12} & a_{13}\\ a_{20} & a_{21} & a_{22} & a_{23}\\ a_{30} & a_{31} & a_{32} & a_{33} \end{vmatrix}= a_{00}* \begin{vmatrix} a_{11} & a_{12} & a_{13}\\ a_{21} & a_{22} & a_{23}\\ a_{31} & a_{32} & a_{33} \end{vmatrix} - a_{01}* \begin{vmatrix} a_{10} & a_{12} & a_{13}\\ a_{20} & a_{22} & a_{23}\\ a_{30} & a_{32} & a_{33} \end{vmatrix} a_{02}* \begin{vmatrix} a_{10} & a_{11} & a_{13}\\ a_{20} & a_{21} & a_{23}\\ a_{30} & a_{31} & a_{33} \end{vmatrix} - a_{03}* \begin{vmatrix} a_{10} & a_{11} & a_{12}\\ a_{20} & a_{21} & a_{22}\\ a_{30} & a_{31} & a_{32} \end{vmatrix}[/tex]