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
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