Find the fixed point(s) of the mapping

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Reference no: EM131080799

The mapping w = αz + β (a, β both constant complex numbers) maps the point z = 1 + j to the point w = j and the point z = -1 to the point w = 1 + j.

(a) Determine α and β.

(b) Find the region in the w plane corresponding to the upper half-plane Im(z) > 0 and illustrate diagrammatically.

(d) Find the fixed point(s) of the mapping.

In (b)-(d) use the values of α and β determined in (a).

Reference no: EM131080799

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