Model Applied Situations with Matrix Operations
-Adjust the Contrast by Changing

question 48

Multiple Choice

Model Applied Situations with Matrix Operations
-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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