Find the Inverse of the Matrix $\left[ \begin{array} { c c c } 1 & 0 & 5 \\1 & 1 & 5 \\- 5 & 1 & 1\end{array} \right]$

question 184

Multiple Choice

Find the inverse of the matrix. $\left[ \begin{array} { c c c } 1 & 0 & 5 \\1 & 1 & 5 \\- 5 & 1 & 1\end{array} \right]$

• A) \(\left[ \begin{array} { c c c }
• - 29 & 5 & - 5 \\
• - 1 & 1 & 0 \\
• 6 & 1 & 1
• \end{array} \right]\)
• B) \(\left[ \begin{array} { c c c }
• 4 & \frac { 5 } { 26 } & - \frac { 5 } { 26 } \\
• 1 & 1 & 0 \\
• \frac { 6 } { 26 } & - \frac { 1 } { 26 } & \frac { 1 } { 26 }
• \end{array} \right.\)
• C) \(\left[ \begin{array} { c c c }
• - \frac { 4 } { 26 } & \frac { 5 } { 26 } & - \frac { 5 } { 26 } \\
• - 1 & 1 & 0 \\
• \frac { 6 } { 26 } & - \frac { 1 } { 26 } & \frac { 1 } { 26 }
• \end{array} \right.\)
• D) \(\left[ \begin{array} { c c c }
• 29 & 5 & - 5 \\
• - 1 & 1 & - 1 \\
• 6 & - 1 & 1
• \end{array} \right]\)
• E) \(\left[ \begin{array} { c c c }
• 29 & 5 & - 5 \\
• - 1 & 1 & 1 \\
• 6 & - 1 & 1
• \end{array} \right]\)

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Definitions:

Probability Distribution

A probability distribution is a statistical function that describes all the possible values and likelihoods that a random variable can take within a given range.

NPV

Net Present Value; a method used in capital budgeting to evaluate the profitability of an investment or project, calculating the net difference between present value of cash inflows and outflows over a period.

IRR

Stands for Internal Rate of Return, a metric used in financial analysis to estimate the profitability of potential investments.

Scenario Analysis

A process of analyzing possible future events by considering alternative possible outcomes (scenarios).