MATH 240 Midterm: MATH240 BOYLE-M SPRING2011 0101 MID EXAM 2

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

Document Summary

Math 240 spring 2011 exam 3. *** there are questions on both sides of this paper *** Answer each question on a separate sheet of paper. On each sheet, put your name, your section leader"s name and your section meeting time. You must be careful on arithmetic check. No proof is needed for true-false questions; just write clearly. You may assume given matrix expressions are well de ned (i. e. the matrix sizes are compatible). When a question has short nal answer, put a box around that answer: (10 points) compute the characteristic polynomial of the matrix a = . 0 0 0 2: (10 points) let a be the matrix. Compute the area of the parallelogram in r3 spanned by the columns of a: (15 points) Produce a matrix u and a diagonal matrix d such that: (15 points) let a = 6 4. , nd all least squares solutions for ax = .