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Find the 4 × 4 Matrix That Produces the Described [1004010600130001]\left[ \begin{array} { r r r r } 1 & 0 & 0 & 4 \\ 0 & 1 & 0 & - 6 \\ 0 & 0 & 1 & - 3 \\ 0 & 0 & 0 & 1 \end{array} \right]

Question 22

Multiple Choice

Find the 4 × 4 matrix that produces the described transformation, using homogeneous coordinates.
-Translation by the vector (4, -6, -3) 72)


A)
[1004010600130001]\left[ \begin{array} { r r r r } 1 & 0 & 0 & 4 \\ 0 & 1 & 0 & - 6 \\ 0 & 0 & 1 & - 3 \\ 0 & 0 & 0 & 1 \end{array} \right]

B)
[1004010600130001]\left[ \begin{array} { r r r r } 1 & 0 & 0 & - 4 \\ 0 & 1 & 0 & 6 \\ 0 & 0 & 1 & 3 \\ 0 & 0 & 0 & 1 \end{array} \right]

C)
[0004000600030001]\left[ \begin{array} { r r r r } 0 & 0 & 0 & 4 \\ 0 & 0 & 0 & - 6 \\ 0 & 0 & 0 & - 3 \\ 0 & 0 & 0 & 1 \end{array} \right]

D)

[4000060000300001]\left[ \begin{array} { r r r r } 4 & 0 & 0 & 0 \\ 0 & - 6 & 0 & 0 \\ 0 & 0 & - 3 & 0 \\ 0 & 0 & 0 & 1 \end{array} \right]

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