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

question 99

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 dark grey and the light grey to white. Use matrix addition to accomplish this.

• A) \[\left[ \begin{array} { l l l } 1 & 3 & 1 \\ 1 & 3 & 1 \\ 3 & 3 & 3 \end{array} \right] + \left[ \begin{array} { l l l } - 1 & - 1 & - 1 \\ - 1 & - 1 & - 1 \\ - 1 & - 1 & - 1 \end{array} \right] = \left[ \begin{array} { l l l } 0 & 2 & 0 \\ 0 & 2 & 0 \\ 2 & 2 & 2 \end{array} \right]\]
• B) \[\left[ \begin{array} { l l l } 1 & 3 & 1 \\ 1 & 3 & 1 \\ 3 & 3 & 3 \end{array} \right] + \left[ \begin{array} { r r r } 0 & - 1 & 0 \\ 0 & - 1 & 0 \\ - 1 & - 1 & - 1 \end{array} \right] = \left[ \begin{array} { l l l } 1 & 2 & 1 \\ 1 & 2 & 1 \\ 2 & 2 & 2 \end{array} \right]\]
• C) \[\left[ \begin{array} { l l l } 1 & 3 & 1 \\ 1 & 3 & 1 \\ 3 & 3 & 3 \end{array} \right] + \left[ \begin{array} { l l l } 1 & 1 & 1 \\ 1 & 1 & 1 \\ 1 & 1 & 1 \end{array} \right] = \left[ \begin{array} { l l l } 2 & 4 & 2 \\ 2 & 4 & 2 \\ 4 & 4 & 4 \end{array} \right]\]
• D) \[\left[ \begin{array} { l l l } 1 & 3 & 1 \\ 1 & 3 & 1 \\ 3 & 3 & 3 \end{array} \right] + \left[ \begin{array} { r r r } 0 & - 1 & 0 \\ 0 & - 1 & 0 \\ - 1 & - 1 & - 1 \end{array} \right] = \left[ \begin{array} { l l l } 0 & 2 & 0 \\ 0 & 2 & 0 \\ 2 & 2 & 2 \end{array} \right]\]

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