8 Students, classes, and majors. We consider m students, n classes, and p majors. Each student can be in any number of the classes (although we'd expect the number to range from 3 to 6), and can have any number of the majors (although the common values would be 0, 1, or 2). The data about the students' classes and majors are given by an m xn matrix C and an m xp matrix M, where Cij = { student i is in class i student i is not in class j, 0 and Mij 1 0 student i is in major j student i is not in major j. (a) Let E be the n-vector with E; being the enrollment in class i. Express E using matrix notation, in terms of the matrices C and M. (b) Define the n xp matrix S where Sij is the total number of students in class i with major j. Express S using matrix notation, in terms of the matrices C and M