MATH 240 Midterm: MATH240 BOYLE-M FALL2012 0101 MID EXAM
15 Feb 2019
School
Department
Course
Professor
Document Summary
Math 240 fall 2012 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 ta"s name and your section meeting time. You may assume given matrix equations are well de ned (i. e. the matrix sizes are compatible): (25 points) the following two 4 8 matrices can be obtained from each other by performing elementary row operations. Suppose a is the augmented matrix of a system of linear equations which would be written in matrix form as cx = b (where c is the coe cient matrix of the system). If the variables are denoted as x1, x2, . , which of the variables are the free variables? (b) (6 pts. ) Write the basic variables as functions of the free variables, giving a new system with the same solution set. (c) (5 pts. )
