Use Cramer S Rule to Solve the System of Equations $\left\{ \begin{array} { l } x + 2 y + 2 z = 6 \\2 x + y + 2 z = 8 \\2 x + 2 y + z = - 4\end{array} \right.$

question 132

Essay

Use Cramer s rule to solve the system of equations, if possible. If the equations of the system are dependent, or if the system is inconsistent, so indicate. $\left\{ \begin{array} { l } x + 2 y + 2 z = 6 \\2 x + y + 2 z = 8 \\2 x + 2 y + z = - 4\end{array} \right.$

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Definitions:

Diversification

The process of allocating investments across various financial assets to reduce the risk exposure of a portfolio.

One-Factor APT

The Arbitrage Pricing Theory that describes the expected return of a financial asset in relation to a single systematic risk factor.

Factor Portfolio

An investment portfolio constructed to have a high sensitivity to certain risk factors, aiming to achieve specific investment outcomes.

Unsystematic Risk

The risk associated with a specific issuer of a security, such as a company's management decisions or financial health, distinct from market-wide risks.