1 There are about 71 percent of students that report bullying as an on-going problem. 2  Along that same vein, about one out of every 10 students drops out or changes schools because of repeated bullying. 3  One out of every 20 students has seen a student with a gun at school.
Section S Subspaces. A subspace is a vector space that is contained within another vector space. So every subspace is a vector space in its own right, but it is also defined relative to some other (larger) vector space. We will discover shortly that we are already familiar with a wide variety of subspaces from previous sections.
A subset is a set of vectors. Assume a subset [math]V \in \Re^n[/math], this subset can be called a subspace if it satisfies 3 conditions: It contains the zero vector. For any vector [math]\overrightarrow{x} \in V[/math] , c.[math]\overrightarrow{x}[/math] is also in [math]V[/math]. Closure under multiplication.