3. Let z1,22 be arbitrary complex numbers. Prove or disprove the following. 3.1 Re(z1+z2) = Re(z1)+ Re(z2) 3.2 Re(z1z2) = Re(z1) Re(z2) 3.3 Im(z1+z2) = Im(z1)+ Im(z2) 3.4 Im(z1z2) = Im(z1) Im(z2) %3D
3. Let z1,22 be arbitrary complex numbers. Prove or disprove the following. 3.1 Re(z1+z2) = Re(z1)+ Re(z2) 3.2 Re(z1z2) = Re(z1) Re(z2) 3.3 Im(z1+z2) = Im(z1)+ Im(z2) 3.4 Im(z1z2) = Im(z1) Im(z2) %3D
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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If number 3.4 disprove please give one example
![3. Let z1, 22 be arbitrary complex numbers. Prove or disprove the following.
3.1 Re(z1 +z2) = Re(z1)+ Re(z2)
3.2 Re(z1z2) = Re(z1) Re(z2)
3.3 Im(z1 +z2) = Im(z1)+ Im(z2)
3.4 Im(z1z2) = Im(z1) Im(z2)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb763f63d-1e9b-4c8f-b7c3-2d73be2c12df%2Fb50c3039-97e1-4912-ad17-f63e43815cbb%2F1l8byrf_processed.jpeg&w=3840&q=75)
Transcribed Image Text:3. Let z1, 22 be arbitrary complex numbers. Prove or disprove the following.
3.1 Re(z1 +z2) = Re(z1)+ Re(z2)
3.2 Re(z1z2) = Re(z1) Re(z2)
3.3 Im(z1 +z2) = Im(z1)+ Im(z2)
3.4 Im(z1z2) = Im(z1) Im(z2)
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