Show that whenever z is on the annulus, ≤|z| ≤ 1, then |Im(0.14+2+z−¹)| < π.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.4: The Singular Value Decomposition
Problem 30EQ
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Show that whenever z is on the annulus,≤|z|≤ 1, then Im (0.14+z+z¹)| < π.
Transcribed Image Text:Show that whenever z is on the annulus,≤|z|≤ 1, then Im (0.14+z+z¹)| < π.
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