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

question 10

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 leaving the black alone and changing the light grey to dark grey. Use matrix addition to accomplish this.

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

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