Mathematics · Complex Analysis
Find the bilinear transformation which maps the points z = 1, i, −1 respectively onto the points w = i, 0, −1.
- 1w = z − iz + i
- 2w = i(1 − z)1 + z✓
- 3w = 2i − z3i + z
- 4w = 2i + z3i − z
Correct answer
w = i(1 − z)1 + z
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