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:

Cost of Equity Financing

The return that investors expect for providing capital to a company, often regarded as the riskiest form of financing.

Cost of Equity

The yield a business seeks to determine whether an investment satisfies the criteria for capital returns, frequently employed in evaluating the expense of financing initiatives.

Financial Models

Quantitative tools built to represent the performance of a financial asset or portfolio, often used for forecasting and decision making.

Leveraged Firm

A company that uses borrowed capital or debt to fund its operations and investments, aiming to increase potential returns to shareholders.