Q1. Let A be a non-singular n × n matrix. a) Show that, in any norm, k(A) = k(A-!). b) By using A-!, show the "companion inequality" to the inequality we proved in class: ||6|| ||c||
Q1. Let A be a non-singular n × n matrix. a) Show that, in any norm, k(A) = k(A-!). b) By using A-!, show the "companion inequality" to the inequality we proved in class: ||6|| ||c||
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:Q1. Let A be a non-singular n × n matrix.
a) Show that, in any norm, k(A) = k(A-!).
b) By using A-!, show the "companion inequality" to the inequality we proved in
class:
||6||
||c||
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