Row operations can change the column space of a matrix. But why might they do so, and do row operations always change the column space? Let’s recall a few definitions before we explore these questions. The Column Space of a…Continue readingDo Row Operations Change the Column Space of a Matrix?
A subspace of vectors in $\mathbb R^n$ is a set of vectors with two properties. For any two vectors in the set, $\vec u$ and $\vec v$, the sum $\vec u + \vec v$ is also in the set. For…Continue readingWhat is a Subspace?
