Mathematics 3C, Fall 2011 Worksheet 3, TA Grace Kennedy Summary: Mathematics 3C, Fall 2011 Worksheet 3, TA Grace Kennedy NAME: MY WEBSITE: http://math.ucsb.edu/kgracekennedy/Fall2011 3C.html Course Website: Access through GauchoSpace. Write clearly and justify every step as if this were an exam. The following set of questions refer to the exercises from David Lay's textbook on linear algebra on the back of this worksheet. Below they are ordered by how we will do them in section and so that you do a few of each type of problem before returning for more practice on "similar" exercises. At home, finish any we do not complete in section. 1. What is the definition of a vector space? 2. Do problems 2 and 3. 3. Write the vector in problem 12 as scalar multiples of concrete vectors. That is, put it in the "vector form" you used when solving systems of linear equations. Answer problem 12. (You do not need to use Exercise 11.) 4. The function in number 19 is a solution to a differential equation. Do problem 19. 5. Do the set of polynomials form a vector space? Collections: Mathematics