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    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).

    © BrainMass Inc. brainmass.com October 9, 2019, 4:37 pm ad1c9bdddf
    https://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.

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