Midterm 1 with Solutions - Math 201 Spring 2015 Midterm 1...

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Math 201 Name (Print): Spring 2015 Midterm 1 03/04/15 Lecturer: Jesse Gell-Redman Time Limit: 50 minutes Teaching Assistant This exam contains 11 pages (including this cover page) and 5 problems. Check to see if any pages are missing. Enter all requested information on the top of this page, and put your initials on the top of every page, in case the pages become separated. You may not use your books, notes, or any calculator on this exam. You are required to show your work on each problem on this exam. The following rules apply: Show your work , in a reasonably neat and coher- ent way, in the space provided. Work scattered all over the page without a clear ordering will receive very little credit. Follow the instructions closely . For example, if you are asked to justify your answers, then do so in a brief and coherent way. Points will be taken off for incorrect state- ments, even if correct ones are present. Be careful about what you include in your answers. If they contain both the correct answers and incor- rect or nonsense statements, points will be taken off. If you need more space, use the back of the pages; clearly indicate when you have done this. Good luck!! Do not write in the table to the right. Problem Points Score 1 20 2 20 3 20 4 20 5 20 Total: 100
Math 201 Midterm 1 - Page 2 of 11 03/04/15 1. (20 points) Solving linear systems: show your work. (a) (10 points) Find all solutions to the linear system x + 4 y + z = 6 x + y = 2 x - y - z = - 1 1 4 1 6 1 1 0 2 1 - 1 - 1 - 1
Math 201 Midterm 1 - Page 3 of 11 03/04/15 (b) (10 points) Consider the linear system x + y - z = 0 3 x - 5 y + 13 z = 0 Does this system have a unique solution, infinitely many solutions, or no solutioins at all? Justify your answer. (You don’t have to solve the equation.)
Math 201 Midterm 1 - Page 4 of 11 03/04/15

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