Prove that f(x + iy) := ax + by+i(cx + dy) is a) Complex linear if...

Transcribed Image Text:

Prove that f(x + iy) := ax + by+i(cx + dy) is a) Complex linear if and only if a = d and b = -c. b) Complex differentiable if and only if it is complex linear. Prove that f(x + iy) := ax + by+i(cx + dy) is a) Complex linear if and only if a = d and b = -c. b) Complex differentiable if and only if it is complex linear.

Answer rating: 100% (QA)

a To prove that the function fx iy ax by icx dy is complex linear if and only if a d and b c we need ... View the full answer