column rank

column rank

[′käl·əm ‚raŋk]
(mathematics)
The number of linearly independent columns of a matrix; the dimension of the image of the corresponding linear transformation.
References in periodicals archive ?
y0] has full column rank n as long as N is larger than the observability index of the pair (A, C).
d] has full column rank and take v as the observability index of the pair (A, C); then the exact value of the initial state [x.
The system (1) is said to be left invertible if and only if its transfer function matrix (13) has full column rank.
The maximal number of right independent columns of A will be called right column rank of A.
In the same fashion left column rank and left, right row rank of A are defined.
where W is a p x s design matrix of full column rank and T is an n x sin random matrix.
r,n], respectively, ate known matrices of full column ranks (q [menor que o igual a] p, r < n), B [elemento de] [L.
0] has full column rank n and, in turn, a system is controllable if [[GAMMA].
c](P) has full column rank and is column reduced if the conditions in the definition above are satisfied.
and there exist auxiliary matrices of full column rank, [mathematical expression not reproducible] with additional terms of their ranges and null spaces, then the restricted matrix equation (32) has a unique solution:
ATDHE NUHIU V JOEL LYNCH While Wednesday's defence has been tight, their goals scored column ranks as one of the worst in the Championship, with a tally of 36 bettered by each team other than the bottom three.
On this newspaper's Web site, the column ranks as one of the most-viewed stories of all time, second only to a story last year about a two-headed cat from Millbury.