MATH-0070 Final: MATH70 final Math70-Final-Spring13

63 views12 pages
31 Jan 2019
Department
Course
Professor

Document Summary

All calculators, cell phones, or other electronic devices must be turned o and put away during the exam. Unless otherwise stated, you must show all work to receive full credit. With your signature you are pledging that you have neither given nor received assistance on the exam. Students found violating this pledge will receive an f in the course. For each of the statements below, decide whether it is true or false. Indicate your answer by shading the corresponding box. There will be no partial credit. (a) let w be a subspace of rn. W and w have no vector in common. 1 (b) if a mn n is similar to a diagonal matrix, then a has n distinct eigenvalues. T f (c) the zero vector is contained in any eigenspace and is hence an eigenvector. T f (d) similar matrices have the same eigenvalues. T f (e) it is possible for a m5 5 to have 5 complex eigenvalues.