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 ...
SIAM Journal on Numerical Analysis, Vol. 44, No. 6 (2006), pp. 2389-2407 (19 pages) Characterizing the linear and local linear independence of the functions that span a linear space is a key task if ...
An important problem in multivariate statistics is the estimation of covariance matrices. We consider a class of nonparametric covariance models in which the entries in the covariance matrix depend on ...