exam-1-practice

# exam-1-practice - M340L Fall 2010: Exam 1 Practice Problems...

This preview shows pages 1–2. Sign up to view the full content.

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

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: M340L Fall 2010: Exam 1 Practice Problems Problem 1. Consider the system of 3 linear equations in 3 variables: 5 x 1- 3 x 2 + 8 x 3 = 4 x 1 + x 2 = 0 6 x 1- 2 x 2 + 8 x 3 = 4 a) Express this system as a matrix equation of the form A x = b . What are A and b ? How is x related to the variables x 1 ,x 2 ,x 3 ? b) What is the solution set S 1 of this system? Describe it in parametric form. (Recall that parametric form means giving a formula for the solutions such as x = t v + p where t is arbitrary, or x = t 1 v 1 + t 2 v 2 + p where t 1 and t 2 are arbitrary.) c) What is the solution set S 2 of the system A x = ? Describe it in parametric form. d) Describe S 1 and S 2 geometrically as subsets of R 3 : is each one an empty set, a point, a line, a plane, or a three-dimensional space? How are they related geometrically to one another? Problem 2. Consider the matrices A = 1 3 4- 2 1 , B = 1 0 3 2 4 0 , C = 4 2 3 0 ....
View Full Document

## This note was uploaded on 10/19/2010 for the course M 340L taught by Professor Pavlovic during the Spring '08 term at University of Texas at Austin.

### Page1 / 3

exam-1-practice - M340L Fall 2010: Exam 1 Practice Problems...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online