Expected squared Frobenius norm of a pseudo-inverted Gaussian matrix: $\mathbb E\|G^{\dagger}\|_F^2=\frac{r}{k-r-1}$

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Expected squared Frobenius norm of a pseudo-inverted Gaussian matrix: $\mathbb E\|G^{\dagger}\|_F^2=\frac{r}{k-r-1}$ · Prove2Me