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Example 2.11. Show that the
image of the right half plane Re(z) > 1
under the linear transformation w = (-1+ i) z - 2+3i is the half
plane v > u + 7.
Solve for z in terms of w.
Solve for Re(z) > 1.
Which is the right half plane v > 7 + u in the w-plane.
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(c) John Mathews, 1998, 2006