Math 1090.04 Exam 01 Assignment Spring 2013 Name Student ID Number: Instructions: Each student is expected to follow the Homework Guidelines described on the course webpage • For this assignment you will receive either full credit or no credit No partial credit will be given • You will receive up to 5 points added to your exam for completing this assignment perfectly. (You cannot earn more points than you lost on the original exam problem) • To receive credit you must return this handout with your work clearly shown along with your original exam. If you do not include your original exam you will not receive credit. • You may study together or refer to your textbook. Internet solutions or help from the tutoring center are not allowed. If you’re stuck, I have a problem session Tuesday night from 5 - 6:30 in LCB 323. • While studying together is encouraged, you must turn in your own solution. Turning in a classmate’s solution will be considered cheating. Math1090.004 Exam 01 Assignment, Page 2 of 4 06 March 2013 1. Retailers will buy 5 jackets from a wholesaler if the price is $30 each, but only 2 jackets [ points] if the price is $40 each. The wholesaler will supply 100 jackets at $60 each and 200 jackets at $110 each. Write the supply equation described above in slope-intercept form using the standard p and q notation. 1. Important Note: Some of you received full or almost full credit even though your solution was not in the form described in the text. To receive credit for this assignment your solution must be in the form described in the text Math1090.004 Exam 01 Assignment, Page 3 of 4 06 March 2013 2. Following the steps below, solve this system of equations using the Inverse Method [ points] 9x + 5y + 3z = 1 3x + 2y + z = 1 2x + y + z = 1 (1) (2) (3) (a) Begin by writing the system in Matrix Form Part 1:Finding the Inverse (b) Find the inverse matrix. Use R notation for all steps. A−1 = (b) Math1090.004 Exam 01 Assignment, Page 4 of 4 06 March 2013 (c) Check your work to be sure you have the correct inverse matrix. SHOW YOUR WORK Part 2:Using the Inverse (d) Use the inverse matrix you just found to solve the original system. x= (d) y= (d) z= (d) (e) Check your work using Matrix Multiplication to show that your solution is correct. SHOW YOUR WORK