1. Describe geometrically the sets of points z in the complex plane defined by thefollowing relations:(d) Re(z) >c, (resp., c) where c E R.(e) Re(az + b) > 0 where a, b E C.(f) | Re(z) + 1.(g) Im(z)e with c E R.2. Let (,) denote the usual inner product in R². In other words, if Z = (x₁, y₁)and W=(2, 2), then(Z, W) = x₁x₂ + Y132.Similarly, we may define a Hermitian inner product (,) in C by(z, w) = zw.

(1) To Describe: Geometric interpretation of following complex numbers: (d) Re(z)>c, where c∈ℝ…

Answered: 1. Describe geometrically the sets of…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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1. Describe geometrically the sets of points z in the complex plane defined by the following relations: (d) Re(z) > c, (resp., 2 c) where e ER. (e) Re(az + b) >0 where a, b E C. (f) | Re(z) + 1. (g) Im(z)e with CER. =