MATH-0051 Final: MATH51 PastExams Solfinal-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: (5 points, no partial credit) compute x(2), where x(t) is the solution of tx = 2x with x(1) = 3. Solution: no, it is not even a solution unless c2 = 0. 1: (5 points, no partial credit) the matrix . Find 3 linearly independent generalized eigenvectors (you do not have to verify that they are linearly independent). Because there must be 3 linearly independent ones. ~x(0) = : (10 points) solve the initial(cid:173)value problem d~x = . Solution: inspection gives eigenvalue 1 with eigenvector .
