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

question 171

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.

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Definitions:

Behavioral Question

A type of question used by employers during interviews that asks the candidate to provide an example of a past experience to predict future behavior.

Direct Question

A straightforward inquiry that seeks a specific piece of information without ambiguity.

Skills

The ability to do something well, usually gained through training or experience.

Experience

The knowledge or skill acquired by a period of practical involvement in an activity or exposure to events.