6. Show that if f : X Y and g : Y → Z are both onto then fg : Z -→ Z is onto. (Note this is function composition NOT multiplication)

Linear Algebra: A Modern Introduction
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ISBN:9781285463247
Author:David Poole
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Chapter7: Distance And Approximation
Section7.4: The Singular Value Decomposition
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6. Show that if f : X →Y and g : Y → Z are both onto then fg: Z → Z is onto. (Note this is
function composition NOT multiplication)
Transcribed Image Text:6. Show that if f : X →Y and g : Y → Z are both onto then fg: Z → Z is onto. (Note this is function composition NOT multiplication)
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