MATH 240 Midterm: MATH240 BOYLE-M FALL2011 0101 MID EXAM

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

Document Summary

Math 240 fall 2011 exam 1. *** 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 equations are well de ned (i. e. the matrix sizes are compatible): (12 points) the following two matrices can be obtained from each other by performing elementary row operations. 0 0 0 0 1 2 5 (a) (4 pts. ) Write the rst equation of the system of linear equations in variables x1, x2, . whose augmented matrix is m . (b) (8 pts. ) You must justify your answer to receive credit. What by de nition is required for a to be an invertible matrix? (b) (5 pts. )