Asked by Min
How would you prove this theorem:
The column space of an m x n matrix A is a subspace of R^m
by using this definition: A subspace of a vector space V is a subset H of V that has three properties: a) the zero vector of V is in H. b) H is closed under vector addition. c) H is closed under multiplication by scalars.
The column space of an m x n matrix A is a subspace of R^m
by using this definition: A subspace of a vector space V is a subset H of V that has three properties: a) the zero vector of V is in H. b) H is closed under vector addition. c) H is closed under multiplication by scalars.