In linear algebra, the column space, C(A) of a matrix (sometimes called the range of a matrix) is the set of all possible linear combinations of its column vectors. The column space of an m × n matrix is a subspace of m-dimensional Euclidean space. The dimension of the column space is called the rank of the matrix.
The column space of a matrix is the image or range of the corresponding matrix transformation.
Read more about Column Space: Definition, Basis, Dimension, Relation To The Left Null Space
Famous quotes containing the words column and/or space:
“Averageness is a quality we must put up with. Men march toward civilization in column formation, and by the time the van has learned to admire the masters the rear is drawing reluctantly away from the totem pole.”
—Frank Moore Colby (1865–1925)
“When my body leaves me
I’m lonesome for it.
but body
goes away to I don’t know where
and it’s lonesome to drift
above the space it
fills when it’s here.”
—Denise Levertov (b. 1923)