Assignment 2, MATH 240, Spring 2008. Due 5:30pm, Friday February 1st. Please post your solutions in the dropoff box outside the lab AQ 4135. Sorry, no late assignments will be accepted. From the text Fraleigh & Beauregard 1.4 exercises 19, 24, 26, 29, 38, 56 1.5 exercises 2, 6(a), 13, 23, 26, 29, 30 1.6 exercises 2, 8, 13, 18, 24, 32, 36, 38, 45(b), 46(b) Additional exercises for section 1.5 1: Invert the following 3 by 3 matrix by row reducing [Q|I]. [ 1/3 1/3 1/3 ] Q = [ 1 -1 0 ] [ 0 1 -1 ] 2: Suppose A, B, C and D are invertible n by n matrices. Apply Theorem 1.10 on page 77 to show that -1 -1 -1 -1 -1 (A B C D) = D C B A Notes: For exercise 24 of 1.4, just use the Gaussian elimination method to reduce the augmented matrix to reduced row Echelon form. For exercise 56 of 1.4, solve the linear system by reducing the augmented matrix [A|b] to reduced row Echelon form. I've assigned 7 odd numbered exercises. You don't have to hand solutions to odd numbered exercises in. But you should do these questions, especially the True/False questions.