Suppose b; c 2 R. Define T W P.R/ ! R2 byTp D3p.4/ C 5p0.6/ C bp.1/p.2/; Z 21x3p.x/ dx C
Chapter 3, Problem 2(choose chapter or problem)
Suppose b; c 2 R. Define T W P.R/ ! R2 byTp D3p.4/ C 5p0.6/ C bp.1/p.2/; Z 21x3p.x/ dx C c sin p.0/:Show that T is linear if and only if b D c D 0.
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