Aitken's theorem, matrix form: $LCL^{\mathsf T}\succeq(A^{\mathsf T}C^{-1}A)^{-1}$ whenever $LA=I$

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Aitken's theorem, matrix form: $LCL^{\mathsf T}\succeq(A^{\mathsf T}C^{-1}A)^{-1}$ whenever $LA=I$ · Prove2Me