Model Applied Situations with Matrix Operations
-Using the Same Color

question 47

Multiple Choice

Model Applied Situations with Matrix Operations
-Using the same color levels from the instructions, write a 3 × 3 matrix A that represents the letter L in dark grey on a white background. Then find a 3 × 3 matrix B so that A + B lightens only the letter L from dark grey to light grey.

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

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