Let f be the function defined on [0, 1] by when x is irrational, f (x) = 1 when x is rational. Calcuiate f and I f and hence show that f e R [O, 1]. hel 20 08 Rohillch

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
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Let f be the function defined on [0, I] by
when x is irrational,
f (x)
%3D
1 when x is rational.
Calcuiatef
and f and hence show that f e R [0, I].
nnchol 008
Rohilkhand 11)
Transcribed Image Text:Let f be the function defined on [0, I] by when x is irrational, f (x) %3D 1 when x is rational. Calcuiatef and f and hence show that f e R [0, I]. nnchol 008 Rohilkhand 11)
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