Write the System of Linear Equations as a Matrix Equation,AX

question 26

Multiple Choice

Write the system of linear equations as a matrix equation,AX = B.​ $$\left\{ \begin{aligned}x _ { 1 } - 3 x _ { 2 } + 2 x _ { 3 } & = 18 \\- x _ { 1 } + 3 x _ { 2 } - x _ { 3 } & = 18 \\3 x _ { 1 } - 3 x _ { 2 } + 3 x _ { 3 } & = 18\end{aligned} \right.$$ ​

• A) \[\left[ \begin{array} { l l l }
• 1 & 3 & 2 \\
• 1 & 3 & 1 \\
• 3 & 3 & 3
• \end{array} \right] \left[ \begin{array} { l }
• x _ { 1 } \\
• x _ { 2 } \\
• x _ { 3 }
• \end{array} \right] = \left[ \begin{array} { l }
• 18 \\
• 18 \\
• 18
• \end{array} \right]\]
• B) \[\left[ \begin{array} { c c c }
• 1 & - 3 & 2 \\
• - 1 & 3 & - 1 \\
• 3 & - 3 & 3
• \end{array} \right] \left[ \begin{array} { l }
• x _ { 1 } \\
• x _ { 2 } \\
• x _ { 3 }
• \end{array} \right] = \left[ \begin{array} { l }
• - 18 \\
• - 18 \\
• - 18
• \end{array} \right]\]
• C) \[\left[ \begin{array} { c c c }
• 1 & - 3 & 2 \\
• - 1 & 3 & - 1 \\
• 3 & - 3 & 3
• \end{array} \right] \left[ \begin{array} { l }
• x _ { 1 } \\
• x _ { 2 } \\
• x _ { 3 }
• \end{array} \right] = \left[ \begin{array} { l }
• 18 \\
• 18 \\
• 18
• \end{array} \right]\]
• D) \[\left[ \begin{array} { c c c }
• 1 & - 1 & 3 \\
• - 3 & 3 & 3 \\
• 2 & - 1 & 3
• \end{array} \right] \left[ \begin{array} { l }
• x _ { 1 } \\
• x _ { 2 } \\
• x _ { 3 }
• \end{array} \right] = \left[ \begin{array} { l }
• 18 \\
• 18 \\
• 18
• \end{array} \right]\]
• E) \[\left[ \begin{array} { c c c }
• 1 & - 3 & 2 \\
• - 1 & 3 & - 1 \\
• 3 & - 3 & 3
• \end{array} \right] \left[ \begin{array} { c }
• - x _ { 1 } \\
• - x _ { 2 } \\
• - x _ { 3 }
• \end{array} \right] = \left[ \begin{array} { l }
• 18 \\
• 18 \\
• 18
• \end{array} \right]\]

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Definitions:

Prior Beliefs

Are the pre-existing convictions or assumptions an investor has about the market or a specific asset before receiving new information. These beliefs can significantly influence investment decisions and strategies.

Extreme Forecasts

Predictions about financial markets or economic conditions that significantly deviate from consensus views.

Recent Experience

Refers to the impact of freshly encountered information or events on an individual's decisions or perceptions.

Mean-Variance Efficiency

A concept in portfolio theory that suggests an investment is efficient if it offers the highest expected return for a given level of risk or the lowest risk for a given level of expected return.