Provide an Appropriate Response $$A = \left[ \begin{array} { r r r } - 9 & 6 & 2 \\- 1 & - 2 & 0 \\- 10 & 3 & 0\end{array} \right]$$

question 448

Essay

Provide an appropriate response.
-Consider the matrix $$A = \left[ \begin{array} { r r r } - 9 & 6 & 2 \\- 1 & - 2 & 0 \\- 10 & 3 & 0\end{array} \right]$$
Without using a calculator, determine whether A $- 1$ exists. Explain your reasoning

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Definitions:

Serial Monogamy

A marriage form in which a man or a woman marries a series of partners in succession.

Extended Family

A family unit that extends beyond the nuclear family to include other relatives such as grandparents, aunts, uncles, and cousins.

Residential Unit

A dwelling or habitation where an individual or group of people live, often considered in the context of social and family structures.

Economic Production

The process of creating goods and services through the combination of labor, materials, and technology, which is fundamental to a country's economy.