Which of the Following $4 \times 4$ Upper Triangular Matrices Has a Determinant Equal to -8

question 2

Multiple Choice

Which of the following $4 \times 4$ upper triangular matrices has a determinant equal to -8. $$A = \left[ \begin{array} { c c c c } - 2 & - 7 & - 7 & - 7 \\0 & - 2 & - 7 & - 7 \\0 & 0 & 1 & - 7 \\0 & 0 & 0 & - 2\end{array} \right]$$ $B = \left[ \begin{array} { c c c c } - 1 & - 7 & - 7 & - 7 \\0 & - 1 & - 7 & - 7 \\0 & 0 & 3 & - 7 \\0 & 0 & 0 & 4\end{array} \right]$ $C = \left[ \begin{array} { c c c c } 5 & - 7 & - 7 & - 7 \\0 & - 2 & - 7 & - 7 \\0 & 0 & - 2 & - 7 \\0 & 0 & 0 & 1\end{array} \right]$ $D = \left[ \begin{array} { c c c c } 5 & - 7 & - 7 & - 7 \\0 & - 3 & - 7 & - 7 \\0 & 0 & - 2 & - 7 \\0 & 0 & 0 & 2\end{array} \right]$ $E = \left[ \begin{array} { c c c c } - 2 & - 7 & - 7 & - 7 \\0 & - 4 & - 7 & - 7 \\0 & 0 & 1 & - 7 \\0 & 0 & 0 & 2\end{array} \right]$

• A)matrix A
• B)matrix D
• C)matrix C
• D)matrix E
• E)matrix B

Identify and evaluate the long-run equilibrium position of firms in monopolistic competition.

Explain the concepts and effects of price discrimination in different market settings.

Comprehend the influence of advertising and marketing on product differentiation, demand elasticity, and firm costs.

Distinguish between the concepts of economic profits in the short run and long run across different market structures.

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Definitions:

Retractable Preferred Shares

Preferred shares that give the holder the right to require the issuer to repurchase the shares at predetermined conditions.

Future Trading

The buying and selling of financial instruments or commodities for future delivery on a futures exchange.

Expected Dividend Rate

A projection of the amount (often as a percentage) a company is expected to pay out to shareholders in dividends for each share of stock.