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The Cauchy-Schwarz inequality states $|\langle x,y \rangle |\leq ||x||\cdot ||y||.$ Use this tag for questions related to the CS inequality and its applications.

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Prove that sum of eigenvalues of the inverse of an nxn correlation matrix A is greater than ...

I stuck on this question and here is my thoughts: So we have a nxn correlation matrix A with eigenvalues: λ_1,λ_2,...,λ_n 1.According to the property of correlation matrix, (λ_1)+(λ_2) + ... + (λ_n) = …