MATH 240 Final: MATH240 WOLFE-P SPRING2003 0101 FINAL EXAM

• School: University of Maryland
• Department: Mathematics
• Course: MATH 240
• Professor: All

Document Summary

Instructions: number the answer sheets from 1 to 9. Fill out all the information at the top of each sheet. Answer problem n on page n, n = 1, , 9. Do not answer one question on more than one sheet. If you need more space use the back of the correct sheet. Honor pledge on page 1 only: (30 points) let. If you answer a question incorrectly due to arithmetic errors you will lose most or all of the credit on that part: (25 points) let. Denote the columns of b by b1, b2, b3. (a) show that {b1, b2, b3} is a basis for r3. (b) let u = (2, 1, 3)t . Express x2 as a quotient (ratio) of determinants. Do not evaluate the determinants. (b) find the area of the parallelogram with vertices at ( 1, 0), (0, 5), (1, 4), (2, 1). (c) suppose that a is a square matrix such that det(a4) = 0.