1. Show that for all z1, Z2 E C, Then we have: |Z1 + z2| < ]z1]+ |z2| 2. Show that for all z1, Z2 E C, Then we have: |Izı| – |z2|| < |21 + z2|

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter3: Matrices
Section3.2: Matrix Algebra
Problem 21EQ: Prove the half of Theorem 3.3 (e) that was not proved in the text.
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1. Show that for all z1, Z2 E C, Then we have:
|z1 + z2] < ]z1[ + |z2|
2. Show that for all z1, Z2 E C, Then we have:
|Iz1l – |z2|| < |z1+ z2|
Transcribed Image Text:1. Show that for all z1, Z2 E C, Then we have: |z1 + z2] < ]z1[ + |z2| 2. Show that for all z1, Z2 E C, Then we have: |Iz1l – |z2|| < |z1+ z2|
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