# 09-01-10 - Math 54 Discussion Section Problems Mike...

This preview shows page 1. Sign up to view the full content.

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

Unformatted text preview: Math 54 Discussion Section Problems Mike Hartglass September 1, 2010 You should work on the following problems in groups of 3 or 4. Try to get through as many as you can, but you aren’t expected to finish everything. In fact, the answers are largely unimportant; making sure everyone in your group knows how to solve all the problems is what really matters. 1. Let A = 2- 1- 6 3 , and b = b 1 b 2 . For what values of b 1 ,b 2 does the equation A x = b have a solution? What does this mean in terms of the span of the columns of A? 2. Let A = 2- 1- 6 a . For what values of a does the equation A x = b have a solution for every vector b ? Phrased another way, for what values of a do the columns of A span R 2 ? 3. As you may (or may not) have learned at some point, there is only one polynomial of degree n that passes through a given set of n + 1 points (ie, there is only one line through any given 2 points, only one parabola through a given 3 points, etc). What you may not have learned, however, is that linearone parabola through a given 3 points, etc)....
View Full Document

## This note was uploaded on 11/19/2010 for the course LECTURE 1 taught by Professor Yildiz during the Fall '10 term at University of California, Berkeley.

Ask a homework question - tutors are online