Posted by **Min** on Tuesday, June 19, 2007 at 1:26am.

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.

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