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Suppose TE L(V) is normal. Prove that Im(T) = Im(T*). t: Show that Im(T) = Im(TT*). Problem 10 from homework 5 might be helpful.)

Suppose TE L(V) is normal. Prove that Im(T) = Im(T*). t: Show that Im(T) = Im(TT*). Problem 10 from homework 5 might be helpful.)

Advanced Engineering Mathematics
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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Suppose TEL(V) is normal. Prove that Im(T) = Im(T*). (Hint: Show that Im(T) = Im(TT*). Problem 10 from homework 5 might be helpful.)
Transcribed Image Text:Suppose TEL(V) is normal. Prove that Im(T) = Im(T*). (Hint: Show that Im(T) = Im(TT*). Problem 10 from homework 5 might be helpful.)
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