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

question 50

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 light grey and the light grey to black. Use matrix addition to accomplish this.

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

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