Linear Transformations: Polar and Rectangular Coordinates
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3. Find the region onto which the half plane y > 0 is mapped by the transformation
w = (1+ i)z
by using (a) polar coordinates; (b) rectangular coordinates. Sketch the region.
Ans. v > u.
(This problem is from linear transformations.)
(Please try to draw the graph clearly).
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Solution Summary
The region onto which a half plane is mapped is found and discussed. The solution is detailed and well presented.
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