Second moment of a diagonal entry of the inverse Wishart matrix: $\mathbb{E}[((GG^\top)^{-1})_{ii}^2] = 1/((k-r-1)(k-r-3))$

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Second moment of a diagonal entry of the inverse Wishart matrix: $\mathbb{E}[((GG^\top)^{-1})_{ii}^2] = 1/((k-r-1)(k-r-3))$ · Prove2Me