2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/140919Suppose that $T_n$ is a Toeplitz matrix whose entries come from a sequence of independent but not necessarily identically distributed random variables with mean zero. Under some additional tail conditions, we show that the spectral norm of $T_n$ is of the order $\sqrt{n \log n}$. The same result holds for random Hankel matrices as well as other variants of random Toeplitz matrices which have been studied in the literature.v2: Minor corrections and changes in expositionProbabilityOn the spectral norm of a random Toeplitz matrixtext