Problem 4: a.) Give an example of an inner product space V and a subspace U of V such that U@U± ‡V. b.) Let V = CR ([-1, 1]). Let Ue and U, denote the subspace of even and odd functions respectively. Show that U = U..

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Problem 4: a.) Give an example of an inner product space V and a subspace U of
V such that
U @U± ‡ V.
b.) Let V
CR ([-1, 1]). Let Ue and U, denote the subspace of even and odd functions
respectively. Show that U = U₂.
=
Transcribed Image Text:Problem 4: a.) Give an example of an inner product space V and a subspace U of V such that U @U± ‡ V. b.) Let V CR ([-1, 1]). Let Ue and U, denote the subspace of even and odd functions respectively. Show that U = U₂. =
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