Question: Mappings from a vector space to the real numbers are sometimes called funetionals.3 Determine whether the transformations in Problems a to c are linear functionals

Mappings from a vector space to the real numbers are sometimes called funetionals.3 Determine whether the transformations in Problems a to c are linear functionals from C[0. I] to R.
a.

T( f) = f(0)+f(1) T(f) = | \f(t)Idt J 0 T(f)=-2 | f(t) dt

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a Tf 12f0 f1 Hence T is a linear functi... View full answer

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