Model Applied Situations with Matrix Operations
The $\perp$ Shape in the Figure Below Is Shown Using 9 Pixels

question 120

Multiple Choice

Model Applied Situations with Matrix Operations
The $\perp$ shape in the figure below is shown using 9 pixels in a $3 \times 3$ grid. The color levels are given to the right of the figure. Use the matrix $\left[ \begin{array} { l l l } 1 & 3 & 1 \\ 1 & 3 & 1 \\ 3 & 3 & 3 \end{array} \right]$ that represents a digital photograph of the $\perp$ shape to solve the problem.
-Adjust the contrast by changing the black to white and the light grey to dark grey. Use matrix addition to accomplish this.

• A) \(\left[ \begin{array} { l l l } 1 & 3 & 1 \\ 1 & 3 & 1 \\ 3 & 3 & 3 \end{array} \right] + \left[ \begin{array} { r r r } 1 & - 3 & 1 \\ 1 & - 3 & 1 \\ - 3 & - 3 & - 3 \end{array} \right] = \left[ \begin{array} { l l l } 2 & 0 & 2 \\ 2 & 0 & 2 \\ 0 & 0 & 0 \end{array} \right]\)
• B) \(\left[ \begin{array} { l l l } 1 & 3 & 1 \\ 1 & 3 & 1 \\ 3 & 3 & 3 \end{array} \right] + \left[ \begin{array} { r r r } - 1 & 3 & - 1 \\ - 1 & 3 & - 1 \\ 3 & 3 & 3 \end{array} \right] = \left[ \begin{array} { l l l } 2 & 0 & 2 \\ 2 & 0 & 2 \\ 0 & 0 & 0 \end{array} \right]\)
• C) \[\left[ \begin{array} { l l l } 1 & 3 & 1 \\ 1 & 3 & 1 \\ 3 & 3 & 3 \end{array} \right] + \left[ \begin{array} { l l l } - 1 & - 1 & - 1 \\ - 1 & - 1 & - 1 \\ - 1 & - 1 & - 1 \end{array} \right] = \left[ \begin{array} { l l l } 0 & 2 & 0 \\ 0 & 2 & 0 \\ 2 & 2 & 2 \end{array} \right]\]
• D) \[\left[ \begin{array} { l l l } 1 & 3 & 1 \\ 1 & 3 & 1 \\ 3 & 3 & 3 \end{array} \right] + \left[ \begin{array} { r r r } 0 & - 3 & 0 \\ 0 & - 3 & 0 \\ - 3 & - 3 & - 3 \end{array} \right] = \left[ \begin{array} { l l l } 1 & 0 & 1 \\ 1 & 0 & 1 \\ 0 & 0 & 0 \end{array} \right]\]

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Definitions:

NPV

Net Present Value (NPV) is a financial metric used to evaluate the profitability of an investment or project, calculated by summing the present values of incoming and outgoing cash flows.

Cost of Capital

The rate of return that a company must pay on its investments to satisfy its shareholders or debt-holders.

Cash Flows

All money transactions entering and leaving a firm, with a significant influence on its liquidity.

Interest Payments

The amount paid by a borrower to a lender as compensation for the use of borrowed money.