Solve For $X$ In the Equation Given A) $\left[ \begin{array} { c c c } 72 & - 15 & 21 \\ 78 & - 39 & - 33 \end{array} \right]$

question 8

Multiple Choice

Solve for $X$ in the equation given.
$$9 A + 6 B = 3 X , A = \left[ \begin{array} { c c c } 6 & - 5 & 3 \\8 & - 3 & - 7\end{array} \right] \text { and } B = \left[ \begin{array} { c c c } 3 & 5 & - 1 \\1 & - 2 & 5\end{array} \right]$$

• A) \(\left[ \begin{array} { c c c } 72 & - 15 & 21 \\ 78 & - 39 & - 33 \end{array} \right]\)
• B) \(\left[ \begin{array} { c c c } 9 & 0 & 2 \\ 9 & - 5 & - 2 \end{array} \right]\)
• C) \(\left[ \begin{array} { c c c } 24 & - 5 & 7 \\ 26 & - 13 & - 11 \end{array} \right]\)
• D) \(\left[ \begin{array} { c c c } 12 & - 25 & 11 \\ 22 & - 5 & - 31 \end{array} \right]\)
• E) not possible

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Definitions:

Capital Asset Pricing Model (CAPM)

Equation of the Security Market Line showing the relationship between expected return and beta.

Reward To Risk Ratio

A measure that evaluates the anticipated gains from an investment against the level of risk assumed to achieve these gains.

Security Market Line

A graphical representation of the expected return of all risky marketable securities as a function of their beta, or systemic risk, according to the capital asset pricing model.

Diversifiable Risk

Relates to the risk that can be reduced or eliminated from a portfolio by holding a variety of investments.