Provide an Appropriate Response $$A = \left[ \begin{array} { r r r } 2 & 9 & 3 \\4 & 10 & 0 \\- 2 & - 7 & 0\end{array} \right]$$

Essay

Provide an appropriate response.
-Consider the matrix
$$A = \left[ \begin{array} { r r r } 2 & 9 & 3 \\4 & 10 & 0 \\- 2 & - 7 & 0\end{array} \right]$$
Without using a calculator, determine whether $\mathrm { A } ^ { - 1 }$ exists. Explain your reasoning.