Let x be an element of the inner product space V in Exercise 31, and let p1

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Let x be an element of the inner product space V in Exercise 31, and let p1 and p2 be the projections of x onto S1 and S2, respectively. Show that
(a) x = P1 + P2.
(b) If x ∈ S⊥1, then p1 = 0 and hence S⊥ = S2.
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