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

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)
$$\left[ \begin{array} { l l l } 1 & 3 & 1 \\1 & 3 & 1 \\3 & 3 & 3\end{array} \right] + \left[ \begin{array} { r r r } 0 & - 3 & 0 \\0 & - 3 & 0 \\- 3 & - 3 & - 3\end{array} \right] = \left[ \begin{array} { l l l } 1 & 0 & 1 \\1 & 0 & 1 \\0 & 0 & 0\end{array} \right]$$