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

Question 92

Multiple Choice

Model Applied Situations with Matrix Operations
-Adjust the contrast by changing the black to white and the light grey to dark grey. Use matrix addition to accomplish this.


A)
[131131333]+[131131333]=[202202000]\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)
[131131333]+[131131333]=[202202000]\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)
[131131333]+[111111111]=[020020222]\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)
[131131333]+[030030333]=[101101000]\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]

Correct Answer:

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