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.
Given subspaces U and W of a vector space V, then their intersection U â© W := { v â V: v is an element of both U and W } is also a subspace of V. Proof: 1  Let v and w be elements of U â© W. 2  Then v and w belong to both U and W.