Find the 3 × 3 Matrix That Produces the Described $\left[\begin{array}{rrr}-1 & 0 & -8 \\0 & -1 & -6 \\0 & 0 & 1\end{array}\right]$

question 6

Multiple Choice

Find the 3 × 3 matrix that produces the described composite 2D transformation, using homogeneous coordinates.
-Translate by (8, 6) , and then reflect through the line y = x.

• A)
• \(\left[\begin{array}{rrr}
• -1 & 0 & -8 \\
• 0 & -1 & -6 \\
• 0 & 0 & 1
• \end{array}\right]\)
• B)
• \(\left[\begin{array}{lll}
• 0 & 1 & 8 \\
• 1 & 0 & 6 \\
• 0 & 0 & 1
• \end{array}\right]\)
• C)
• \(\left[\begin{array}{lll}
• 0 & 6 & 1 \\
• 8 & 0 & 0 \\
• 0 & 0 & 1
• \end{array}\right]\)
• D)
• \(\left[ \begin{array} { l l l } 0 & 1 & 6 \\ 1 & 0 & 8 \\ 0 & 0 & 1 \end{array} \right]\)

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