![]() A linear combination of vectors is a weighted sum of the form, where are scalars 2 In our case, matrices will be comprised of real numbers, making scalars real numbers as well. A collection of vectors is linearly independent if there is no linear combination of them which produces the zero vector, except for the trivial -weighted linear combination. If are not linearly independent, then they’re linearly dependent. ![]() The column rank of a matrix is the size of the largest possible subset of ‘s columns which are linearly independent. ![]() So if the column rank of is, then there is some sub-collection of columns of which are linearly independent. There may be some different sub-collections of columns from that are linearly dependent, but every collection of columns is guaranteed to be linearly dependent. #NONMEM S MATRIX ALGORITHMICALLY SINGULAR FULL#.#NONMEM S MATRIX ALGORITHMICALLY SINGULAR HOW TO#.
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