Write the Word or Phrase That Best Completes Each Statement $3 \times 3$

Write the word or phrase that best completes each statement or answers the question.
Provide the missing information.
-The determinant of a $3 \times 3$ matrix $\mathrm { A } = \left[ \begin{array} { c c c } a _ { 1 } & b _ { 1 } & c _ { 1 } \\ a _ { 2 } & b _ { 2 } & c _ { 2 } \\ a _ { 3 } & b _ { 3 } & c _ { 3 } \end{array} \right]$ is given by
$$| A | = a _ { 1 } \left| \begin{array} { l } \square \square \\\square \square\end{array} \right| - a _ { 2 } \left| \begin{array} { l } \square \square \\\square \square\end{array} \right| + a _ { 3 } \mid \begin{array} { l } \square \square \mid \\\square \square \mid\end{array}$$