(b) ƒ(AnB) ≤ f(A) Ñ ƒ(B)

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.5: The Kernel And Range Of A Linear Transformation
Problem 30EQ
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Suppose f: X → Y, and A, B C X. Prove that
(a) f(AUB) = ƒ(A) U ƒ(B)
(b) f(An B) ≤ f(A)n f(B)
Transcribed Image Text:Suppose f: X → Y, and A, B C X. Prove that (a) f(AUB) = ƒ(A) U ƒ(B) (b) f(An B) ≤ f(A)n f(B)
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