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:
“I got it: Man Without Head Kills Rich Jeweler. What an eight- column spread that’d be on the front page. Why that’s the greatest story since Lindbergh flew to Paris. Oh boy, if only it was true.”
—P. J. Wolfson, John L. Balderston (1899–1954)
“... the movie woman’s world is designed to remind us that a woman may live in a mansion, an apartment, or a yurt, but it’s all the same thing because what she really lives in is the body of a woman, and that body is allowed to occupy space only according to the dictates of polite society.”
—Jeanine Basinger (b. 1936)