MATH122 Final: Final Exam Winter 2012
Document Summary
Instructors: r. f. bailey (001), c. -h. guo (002) Please turn off your cell phones: read each question carefully, where it is possible to check your work, do so, good luck! Told to do so: consider the system of linear equations x 2y 3z. Turn over: consider the system of linear equations. + x3 + 2x4 = 1 x1 x1 + x2 + 2x3 + x4 = 3. 2 0 0 5 x1 x2 x3 x4. Explain your answer. (b) (4 marks) consider the set of vectors w = {(x, y) r2 | y = x2}. Turn over: (6 marks) for each of the following sets of vectors, determine whether or not it is a basis for r3. Explain your answers. (a) (1, 1, 0), (1, 0, 3), (2, 1, 4); (b) (1, 1, 0), (1, 3, 1), (1, 3, 2); (c) (1, 0, 3), (1, 1, 5), ( 1, 1, 0), (0, 3, 1), (7, 7, 8).
