Use the Properties of Determinants to Find the Value of the Second

question 147

Multiple Choice

Use the properties of determinants to find the value of the second determinant, given the value of the first.
- $$\left| \begin{array} { r r r } x & y & z \\u & v & w \\1 & - 1 & 3\end{array} \right| = - 51 \left| \begin{array} { c c c } 1 & - 1 & 3 \\2 u & 2 v & 2 w \\x - 1 & y + 1 & z - 3\end{array} \right| = ?$$

• A) -51
• B) -102
• C) 102
• D) 51

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Definitions:

Systematic Risk

A type of risk that is associated with the overall market or a particular market segment, often called market risk.

Expected Return

The average amount of profit or loss one can anticipate receiving on an investment, accounting for all possible outcomes.

Incremental Risk

The additional risk that an investment or action brings to an investor's or company's overall risk profile.

Risk-Free Rate

The rate of return on an investment with no risk of financial loss, often represented by the yield on government Treasury bills.