Row space
In
computer science and
mathematics, the
row space of an
m-by-
n matrix with
real entries is the
subspace of
Rn generated by the row vectors of the matrix. Its
dimension is equal to the
rank of the matrix and is at most min(
m,
n).
Given a matrix J:
-
and
r1 = (2,4,1,3,2),
r2 = (-1,-2,1,0,5),
r3 = (1,6,2,2,2),
r4 = (3,6,2,5,1)
The row space of J is the subspace of R5 spanned by { r1, r2, r3, r4 }
See also column space, null space.