Transforming a square Let S = {(u, v): 0 ≤ u ≤ 1, 0 ≤ v ≤ 1} be a unit square in the uv-plane. Find the image of S in the xy-plane under the following transformation. T: x = u2 - ν2, y = 2uν

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A: Refer to the figure shown below:

Q: Given ABCD and its image EFGH in the plane, which type of transformation has taken place?

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Q: H.W: Let V = {(x, y): x 20} with standard operation on R2. Is Va vector space?

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