Linear Algebra

Lin" rel="nofollow">inear Algebra in" rel="nofollow">introduction. and problem 2 and 3. problem 2: Result from codin" rel="nofollow">ing: Highest eigenvalue:3.6412 Correspondin" rel="nofollow">ing eigenvector: 0.4747 0.1797 0.4067 0.5371 0.5371 Codin" rel="nofollow">ing for problem 2 and 3: clear all; close all, clc; A= [1 1 0 1 1; 1 1 0 0 0; 0 0 1 1 1; 1 0 1 1 1; 1 0 1 1 1]; display(A); [V,D]=eig(A); display(V); display(D); What is an eigenvalue? How does it relate to its eigenvector? Interpret the largest eigenvalue and its eigenvector pair in" rel="nofollow">in the problem above in" rel="nofollow">in the context of our movie ratin" rel="nofollow">ings in" rel="nofollow">in relation to genre. (b) If the origin" rel="nofollow">inal matrix represents lms that you enjoyed, what would our eigenvector imply about lms you would like to watch in" rel="nofollow">in the future? (Hin" rel="nofollow">int: Consider the direction of the eigenvector - towards which movies is it poin" rel="nofollow">intin" rel="nofollow">ing and why? In other words, what are the rows correspondin" rel="nofollow">ing to the most promin" rel="nofollow">inent members of your eigenvector? These are the \top" movies highlighted by our algorithm.) (c) Why, in" rel="nofollow">in our analysis, is Robin" rel="nofollow">in Hood classied as a lower title than, say, Shrek, even though they have the same number of relationships to other lms in" rel="nofollow">in the matrix?