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Rank (linear algebra)

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…

Applications, Proofs that column rank = row rank & Properties

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Computing the rank of a matrix

Proofs that column rank = row rank

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Matrices as tensors

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Rank (linear algebra)

Nodes96
Edges95
Triples2
Avg. degree1.98
Density0.020833
Components1

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Rank (linear algebra)

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see also · 2
Rank (linear algebra) → Matroid, Rank

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rank matrix row linear column displaystyle space dimension columns number rows linearly independent matrices algebra equal vector tensor isbn image

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SubjectPredicateObjectConfidenceSrc
Rank (linear algebra)see alsoMatroid0.60section
Rank (linear algebra)see alsoRank0.60section

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