Linear Transformations: Polar and Rectangular Coordinates
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).
© BrainMass Inc. brainmass.com October 9, 2019, 4:37 pm ad1c9bdddfhttps://brainmass.com/math/linear-transformation/linear-transformations-polar-rectangular-coordinates-37365
Solution Summary
The region onto which a half plane is mapped is found and discussed. The solution is detailed and well presented.
$2.19