20 The Column Space
... Rm (assuming real stuff for now). Consider the set of all linear combinations of the columns of the matrix A. This is a subspace of Rm. It is called the column space of A, denotes C(A). (Other notations exist, so be careful!) Why is it a subspace? Well, it is non-empty. If the columns are c1, c2, …, ...
... Rm (assuming real stuff for now). Consider the set of all linear combinations of the columns of the matrix A. This is a subspace of Rm. It is called the column space of A, denotes C(A). (Other notations exist, so be careful!) Why is it a subspace? Well, it is non-empty. If the columns are c1, c2, …, ...
