Matrix Rank
Provides an estimate of the rank of a matrix M.
Rank(M)
M |
Numeric matrix; vectors will be considered as column vectors. |
Provides an estimate of the number of linearly independent rows or columns
of a matrix M. Compares an approach using QR-decomposition with one
counting singular values larger than a certain tolerance (Matlab).
Matrix rank as integer between 0 and min(ncol(M), nrow(M)).
The corresponding function in Matlab is called rank, but that term
has a different meaning in R.
Trefethen, L. N., and D. Bau III. (1997). Numerical Linear Algebra. SIAM, Philadelphia.
Rank(magic(10)) #=> 7 Rank(magic(100)) #=> 3 (!) Rank(hilb(8)) #=> 8 , but qr(hilb(8))$rank says, rank is 7. # Warning message: # In Rank(hilb(8)) : Rank calculation may be problematic.
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