Homework linear algebra

_____________________________________________________________________________________ Assignment 2, MATH 216 , Sem ester 372, JUC -Fe male Branch Page 1 of 4 JUBAIL UNIVERSITY COLLEGE Semester 3 72 MATH 216 Assignment 2 Date of Submission : 04 -05-201 7 Name: _________________________________ ID: __________ ______ ____________ Section: _____ 1. Find the e igen values and associated eigenvectors of the given matrix A. 3 5 2 A 0 2 0 0 2 1     _____________________________________________________________________________________ Assignment 2, MATH 216 , Sem ester 372, JUC -Fe male Branch Page 2 of 4 2. The given ve ctors span a subspace of the indicated Euclidean space . Find a basis for the orthogonal complement of . V V V       1 2 3 1,1,1,1, 3 , 2, 3,1, 4, 7 , 5, 3, 7,1, 5 v v v    _____________________________________________________________________________________ Assignment 2, MATH 216 , Sem ester 372, JUC -Fe male Branch Page 3 of 4 3. Solve the initial value problem.        3 2 1 ; 0 0 0, 0 1 x y y y x e y y y            _____________________________________________________________________________________ Assignment 2, MATH 216 , Sem ester 372, JUC -Fe male Branch Page 4 of 4 4. App ly the eigenvalue method to find a general solution of the given system. 1 1 2 2 1 2 3 4 , 6 5 x x x x x x    