MATH-0051 Midterm: MATH51 PastExams Exam3-F12
Document Summary
No calculators, books or notes are allowed on the exam. All electronic devices must be turned off and put away. you must show all your work in the blue book in order to receive full credit. Please box your answers and cross out any work you do not want graded. With your signature you are pledging that you have neither given nor received assistance on the exam. Good luck: (15 points) find the general solution of (cid:26) x = 2y y = 3y x, (15 points) find the general solution of ~x = (cid:18) 1 1. 1: (10 points) the matrix a = (cid:18) 1 1. Find the general solution of d~x = a~x. 3 (cid:19) has a double eigenvalue 2 with generalized eigenvectors: (15 points) find the general solution of d~x = a~x +(cid:18) et. Hint: the general solution of d~x = a~x is c1et(cid:18) 2. 1(cid:19) + c2e2t(cid:18) 1 et(cid:19), where a = (cid:18) 0.
