4. Let A and B be sets and let T C B. Also let f : A → B. (a) Use a diagram to show that f(f-'(T)) C T. (b) Under what condition does equality hold?

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 54EQ
Question
4. Let A and B be sets and let T C B. Also let f : A → B.
(a) Use a diagram to show that f(f-'(T)) C T.
(b) Under what condition does equality hold?
Transcribed Image Text:4. Let A and B be sets and let T C B. Also let f : A → B. (a) Use a diagram to show that f(f-'(T)) C T. (b) Under what condition does equality hold?
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