Concept information
Preferred term
rank
Definition(s)
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In linear algebra, the rank of a matrix A is the dimension of the vector space generated (or spanned) by its columns. This corresponds to the maximal number of linearly independent columns of A. This, in turn, is identical to the dimension of the vector space spanned by its rows. Rank is thus a measure of the "nondegenerateness" of the system of linear equations and linear transformation encoded by A. There are multiple equivalent definitions of rank. A matrix's rank is one of its most fundamental characteristics.
(Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Rank_(linear_algebra))
Broader concept(s)
In other languages
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French
URI
http://data.loterre.fr/ark:/67375/PSR-BX545GQ6-L
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