Rank | R Documentation |
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.
nullspace
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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