{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

# HW1 - AMS210.01 Homework 1 Andrei Antonenko Due at the...

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

AMS210.01. Homework 1 Andrei Antonenko Due at the beginning of the class, February 17, 2003 1. Solve each of the the following equations: (a) 5 x = log 3 2 (b) 0 x = 3 (c) 0 x = 0 2. Solve each of the following equations. Consider a as a parameter and don’t forget different cases for different values of it: (a) 6 x = a (b) ax = 2 (c) ax = 2 a 3. Write the solution set of each of the following equations and find 2 particular solutions: (a) x 1 + x 2 = 6 (b) 2 x 1 - x 2 + 4 x 3 = - 1 4. Solve the following systems in echelon form. Also, for each system which has infinitely many solutions, specify 1 numerical solution. (a) x 1 + 3 x 2 - x 3 = 13 x 2 + 3 x 3 = 10 - 2 x 3 = - 4 (b) x 1 - 4 x 2 + 10 x 3 = 3 15 x 2 + 3 x 3 = 10 0 = 2 (c) x 1 + 4 x 2 + x 3 = 15 - 3 x 3 = - 3 0 = 0 1

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

View Full Document
(d) 2 x 1 - x 2 + x 3 = 15 x 2 + 2 x 3 + 2 x 4 = 10 2 x 4 = 6 (e) 2 x 1 + 2 x 2 + x 3 - x 4 = 4 x 3 + 3 x 4 = 8 5. Find the elementary operation needed to get from the first system to the second one: (a) x 1 + 2 x 2 + x 3 = 9 2 x 1 - x 2 + 3 x 3 = 5 3 x 1 + x 2 - x 3 = 4 x 1 + 2 x 2 + x 3 = 9 3 x 1 + x 2 - x 3 = 4 2 x 1
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