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.
The dimension of a subspace is the number of vectors in a basis.We count pivots or we count basis vectors. The rank of A reveals the dimensions ofall four fundamental subspaces. Here are the subspaces, including the new one.Two subspaces come directly from A, and the other two from A T: Four Fundamental Subspaces 1. The row space is C.A T /, a subspace of R n. 2. The column space is C.A/, a subspace of R m. 3. The nullspace is N.A/, a subspace of R n.