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Find the 3 × 3 Matrix That Produces the Described [108016001]\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)
[108016001]\left[\begin{array}{rrr}-1 & 0 & -8 \\0 & -1 & -6 \\0 & 0 & 1\end{array}\right]

B)
[018106001]\left[\begin{array}{lll}0 & 1 & 8 \\1 & 0 & 6 \\0 & 0 & 1\end{array}\right]

C)
[061800001]\left[\begin{array}{lll}0 & 6 & 1 \\8 & 0 & 0 \\0 & 0 & 1\end{array}\right]

D)
[016108001]\left[ \begin{array} { l l l } 0 & 1 & 6 \\ 1 & 0 & 8 \\ 0 & 0 & 1 \end{array} \right]

Correct Answer:

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