14. Suppose we have a diamond-shaped geometric figure defined by the following vertices. ·1. V₁2 V₁-3 that is positioned in the xy-2 plane. We want to rotate the diamond about s centroid e (with a positive angle) so it is positioned in the x-ci plane. What is the affine map that achieves this and what are the mapped vertices v? -2. V₁ = V₂-

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Chapter2: Second-order Linear Odes
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14.
Suppose we have a diamond-shaped geometric figure defined by the following vertices,
-
V₁ =
that is positioned in the x3=2 plane. We want to rotate the diamond about its centroid e (with a positive angle) so it is positioned in the x1=e₁ plane. What is the affine map that achieves this and what are the mapped vertices v?
V₂=
V₂=
V₁=
Transcribed Image Text:14. Suppose we have a diamond-shaped geometric figure defined by the following vertices, - V₁ = that is positioned in the x3=2 plane. We want to rotate the diamond about its centroid e (with a positive angle) so it is positioned in the x1=e₁ plane. What is the affine map that achieves this and what are the mapped vertices v? V₂= V₂= V₁=
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