2. Let 21 and 22 be complex numbers. Show that |1 — 7₁z2|² − |21 — 22|² = (1 − |z1|²)(1 − |22|²) - Suppose further that |z₁| < 1 and |z2| < 1. Prove that <1. 21 - 22 1-2122
2. Let 21 and 22 be complex numbers. Show that |1 — 7₁z2|² − |21 — 22|² = (1 − |z1|²)(1 − |22|²) - Suppose further that |z₁| < 1 and |z2| < 1. Prove that <1. 21 - 22 1-2122
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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Transcribed Image Text:2. Let 21 and 22 be complex numbers. Show that |1 - ₁2|² − |21 – 22|² = (1 − |z1|²)(1 − |22|²)
-
Suppose further that |z₁| < 1 and |z2| < 1. Prove that
<1.
21 - 22
1-2122
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