MATH-0051 Midterm: MATH51 PastExams Sol3-F11
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: (10 points) given the matrix a = (cid:18) 1 3. 1(cid:19) and the eigenvector ~v = (cid:18) 1. 3 a . the eigenvalue of a to which ~v corresponds and: the associated solution of d~x = a~x. Solution: a. (cid:18) 1 3: (20 points) the 3 3 matrix a = . 1(cid:19) so = 2. b. e 2t(cid:18) 1. Has a triple eigenvalue of 1 (you do not have to. 1 2 so the sought general solution is. Each of these gives a solution hi(t) = et[i + t(a i) + t.
