Write the Word or Phrase That Best Completes Each Statement $$A = \left[ \begin{array} { r r r } 10 & - 3 & 2 \\8 & - 4 & 0 \\- 8 & - 10 & 0\end{array} \right]$$

Essay

Write the word or phrase that best completes each statement or answers the question.
Provide an appropriate response.
-Consider the matrix
$$A = \left[ \begin{array} { r r r } 10 & - 3 & 2 \\8 & - 4 & 0 \\- 8 & - 10 & 0\end{array} \right]$$
Without using a calculator, determine whether $A ^ { - 1 }$ exists. Explain your reasoning.