Find the Inverse of the Matrix $$\left[ \begin{array} { c c c } 2 & - 5 & 3 \\2 & - 4 & 8 \\4 & - 9 & 11\end{array} \right]$$

question 8

Multiple Choice

Find the inverse of the matrix.
- $$\left[ \begin{array} { c c c } 2 & - 5 & 3 \\2 & - 4 & 8 \\4 & - 9 & 11\end{array} \right]$$

• A) \(\left[ \begin{array} { l l l } 1 & 0 & 14 \\ 0 & 1 & 5 \\ 0 & 0 & 0 \end{array} \right]\)
• B) No inverse
• C) \(\left[ \begin{array} { c c c } 1 & 0 & 14 \\ 0 & 1 & 5 \\ 0 & - 1 & 0 \end{array} \right]\)
• D) \(\left[ \begin{array} { c c c } 2 & 2 & 4 \\ - 5 & - 4 & - 9 \\ 3 & 8 & 11 \end{array} \right]\)

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Definitions:

Demand For Labor

The total amount of hours of work that employers are willing to pay for at a given wage rate in the economy.

Marginal Physical Product

The additional output produced by employing one more unit of a specific factor of production, holding all other factors constant.

Marginal Revenue

The additional revenue earned by a firm for selling one more unit of a good or service, crucial for decision-making on production levels.

Demand Schedule For Capital

A table or graph showing the amount of capital that businesses wish to invest at different possible rates of interest.