Exercise 1. Let 0 < & ≤ 1, and A := [10] E (i) Calculate the condition number of A in the 1-, 2- and ∞-norms. (ii) How do the condition numbers behave as → 0? Why is this the case
Exercise 1. Let 0 < & ≤ 1, and A := [10] E (i) Calculate the condition number of A in the 1-, 2- and ∞-norms. (ii) How do the condition numbers behave as → 0? Why is this the case
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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![Exercise 1. Let 0 < ɛ ≤ 1, and
9]
(i) Calculate the condition number of A in the 1-, 2- and ∞o-norms.
(ii) How do the condition numbers behave as ɛ → 0? Why is this the case?
A :=
10
0](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F490cbcd2-ad81-426b-824f-903aced284ba%2F48345180-aa74-419d-a73a-7a7d76cd59a3%2F8utndic_processed.png&w=3840&q=75)
Transcribed Image Text:Exercise 1. Let 0 < ɛ ≤ 1, and
9]
(i) Calculate the condition number of A in the 1-, 2- and ∞o-norms.
(ii) How do the condition numbers behave as ɛ → 0? Why is this the case?
A :=
10
0
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