2.2 If fe R(a) on [a, b] and if Saf da prove that a must be constant on [a, b]. = 0 for every f which is monotonic on la, b],

Linear Algebra: A Modern Introduction
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ISBN:9781285463247
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Chapter6: Vector Spaces
Section6.5: The Kernel And Range Of A Linear Transformation
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2.2 If fe R(x) on [a, b] and if åf da = 0 for every f which is monotonic on [a, b],
prove that a must be constant on (a, b).
Transcribed Image Text:2.2 If fe R(x) on [a, b] and if åf da = 0 for every f which is monotonic on [a, b], prove that a must be constant on (a, b).
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