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Let C be the set of complex numbers. Let X be a nonzero, n-dimensional inner product space over C, and let S: X->X be a

Let C be the set of complex numbers. Let X be a nonzero, n-dimensional inner product space over C, and let S: X->X be a linear operator. Prove there is an ordered orthogonal eigenbasis of X w.r.t. the operator S*S

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