Let U be a finite dimensional subspace of an inner product space V, and let v*be a
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(a) Show that v lies in U if and only if v = projtU(v).
(b) If V= R3, show that (-5, 4, -3) lies in span{(3, -2, 5), (-1, 1, 1)} but that (-1, 0, 2) does not.
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