(a) If à is a linear operator, {(i} is a complete, orthonormal basis, and u is an...
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Expand u in terms of the set {(i}, apply à to this expansion, and then expand Ã(i. (b) If
(Where the expansion coefficients wj and ui are numbers), show that the equation in (a) says that wj = (iAjiui, and hence that w = Au, where w, A, and u are the representatives of w, Ã, and u.
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