Let $\mathbf{A}$ be a random matrix, is there any relation between the distribution of the eigenvalues of $\mathbf{A}$ and moments of $\mathbf{A}$, i.e., $$\mathbb{E}[\mathbf{A}^m]$$ for integer $m\geq 1$?
Is there any relation between moments of random matrix and its eigenvalue distribution?
Math_Y
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