• anonymous
Let V be the set of all continuous functions defined on [0,1]. Explain why V is a subspace of T(R). Let W be the subset of V defined by W = {f E V: ∫(0 to 1) (f(t)dt = 0)}. Show that W is a subspace of V. For the first part, it looks like I need to show: 1) zero vector of T(R) is in V 2) when u and v belong to V, u + v belongs to V 3) when u belongs to V and c is scalar, cu belongs to V How would I show that the zero function lies in V? Is it V(0) = 0? I'm not sure what to do next.
MIT 18.06 Linear Algebra, Spring 2010
• Stacey Warren - Expert brainly.com
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SOLVED
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