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

question 212

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.

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Definitions:

Consideration

The worth, including currency, services, or items, that is traded between entities in an agreement.

Contract Void

A contract void is a contract that is deemed legally nonexistent and unenforceable from the outset, due to illegality or other serious defects.

Undue Influence

Undue influence is a legal concept where an individual is able to persuade another's decisions due to the relationship between the two, often leading to an unfair advantage.

Misrepresentation

A false statement of fact made by one party to another, which induces that other party to enter into a contract.