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
Unformatted text preview: Newberger Math 247 Spring 03 Review sheet for the Final Exam Part I This part of the final exam will be over material covered since the second midterm. It will cover Sections 4.14.4, 4.7, 5.1, 5.2. • You will be asked to state the definitions of the following terms. Use precise language; to be safe, you may want to use the defi nitions straight from the text. 1. The coordinates of a vector relative to a basis. (See p246.) 2. Eigenvalue and eigenvector. • Other vocabulary that you should be familiar with: 1. Subspace of a vector space. 2. Null space and column space of a matrix. 3. Basis. 4. The vector space P n . 5. Change of coordinates matrix. 6. Eigenspace. 7. Characteristic equation. • From Sections 4.14.4 and 4.7: 1. You will be asked to determine whether or not a given set is a subspace of a vector space, and to show that your answer is correct. To show that a given set is not a subspace, you must either prove that the zero vector is not in the given set or give a specific numeric example...
View
Full
Document
This note was uploaded on 01/12/2010 for the course MATH 247 taught by Professor F,newberger during the Spring '03 term at Stanford.
 Spring '03
 F,newberger
 Math

Click to edit the document details