What is the matrix that represents rotation of an object by θ degree about the…
2011
What is the matrix that represents rotation of an object by θ degree about the origin in 2D?
Answer: A. cos θ −sin θ sin θ cos θ — The standard 2D rotation matrix for a counterclockwise rotation by angle θ about the origin is [[cosθ, -sinθ], [sinθ, cosθ]]. This matrix transforms…
- A.
cos θ −sin θ sin θ cos θ - B.
sin θ −cos θ cos θ sin θ - C.
cos θ −sin θ cos θ sin θ - D.
sin θ −cos θ cos θ sin θ
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Correct answer: A
The standard 2D rotation matrix for a counterclockwise rotation by angle θ about the origin is [[cosθ, -sinθ], [sinθ, cosθ]]. This matrix transforms coordinates (x, y) to their rotated positions.
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