My understanding of linear independance is that if you have a unique solution after rref, it's linear independant. If you have multiple solutions or no solution, it's not linear ...
The Annals of Probability, Vol. 32, No. 1, A (Jan., 2004), pp. 553-605 (53 pages) Let Bn=(1/N)Tn 1/2XnXn * Tn 1/2 where Xn=(Xij) is n × N with i.i.d. complex standardized entries having finite fourth ...
Let $X_{1},X_{2},\ldots ,X_{n}$ be independent random variables. Given the moments $EX_{j}^{s}$ (s = 1, 2,...,m), (j = 1, 2,...,n), the joint distribution function of ...