{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

MATH21F09M1sol

MATH21F09M1sol - MATH 21 NOVEMBER 2 2009 EXAM 1.2 Solutions...

This preview shows pages 1–3. Sign up to view the full content.

MATH 21 NOVEMBER 2, 2009 EXAM 1.2 — Solutions Instructions Please turn OFF all cell phones, iPods, etc. . There are 5 questions worth a total of 42 points. 100%=40 points. Read all the questions before you begin. Answer the ones you find easiest first . Please write neatly and show all your work. No notes or books. No calculators! Take your time, and check your answers. Good Luck!!! NAME: Zarathustra Problem Score 1 /14 2 /10 3 /6 4 /8 5 /4 Total /40 1

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
MATH 21 EXAM 1 FALL 2009 (1) Consider the matrix M = 1 1 - 1 0 1 - 1 0 3 - 2 1 2 2 - 2 1 5 2 1 - 4 3 3 . a. (4 pts) Write down the system of equations whose augmented matrix is M . x 1 + x 2 - x 3 = 1 - x 1 + 3 x 3 - 2 x 4 = 1 2 x 1 + 2 x 2 - 2 x 3 + x 4 = 5 2 x 1 + x 2 - 4 x 3 + 3 x 4 = 3 b. (6 pts) Find the reduced row echelon form of M . M 1 0 - 3 0 - 7 0 1 2 0 8 0 0 0 1 3 0 0 0 0 0 . c. (2 pts) Use your answer to b. to describe the set of solutions to the system in a. x 4 = 3, x 3 = u ( x 3 is free: u is a parameter), x 2 = 8 - 2 u and x 1 = - 7 + 3 u . Or, x 1 x 2 x 3 x 4
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

What students are saying

• As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

Kiran Temple University Fox School of Business ‘17, Course Hero Intern

• I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

Dana University of Pennsylvania ‘17, Course Hero Intern

• The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

Jill Tulane University ‘16, Course Hero Intern