Final Exam
Preparation Guide
Linear Algebra
May 13, 2013
The nal exam will focus on Sections 4.54.7, Sections 5.15.4 and 6.1 6.5 of Lays
Linear Algebra.
The list of topics below is not exhaustive, but should get you most of the way there.
The exam occurs
Linear Algebra
Exam 1
Fall 2008
October 9, 2008
Name:
Honor Code Statement:
Directions: Complete all problems. Justify all answers/solutions. Calculators are not
permitted. There is a two-hour time limit.
1. [5 points]The following transformation is not a
Linear Algebra
Exam 1
Spring 2007
March 15, 2007
Name: SOLUTION KEY (Total 55 points, plus 5 more for Pledged Assignment.)
Honor Code Statement:
Directions: Complete all problems. Justify all answers/solutions. Calculators are not
permitted.
WARNING: Plea
Linear Algebra
Exam 1
Fall 2011
October 13, 2011
Name:
Honor Code Statement:
Directions: Complete all problems. Justify all answers/solutions. Calculators, notes or
texts are not permitted. There is a two-hour time limit.
1. [5 points]The linear transform
Linear Algebra
Exam 1
Spring 2014
March 13, 2014
Name:
Honor Code Statement:
Directions: Complete all problems. Fill-in-the-blank problems are worth 2 points each
and all others are worth 5 points each. Justify all answers/solutions. Calculators, notes or
Linear Algebra
Exam 2
Spring 2007
April 19, 2007
Name:
Honor Code Statement:
Directions: Complete all problems. Justify all answers/solutions. Calculators are not
permitted.
1. Dene: basis.
2. Dene: column space.
1
3. Find an LU
5
10
A=
15
factorization
Linear Algebra
Exam 2 - Fall 2011
November 10, 2011
Name:
Honor Code Statement:
Directions: Complete all problems. Justify all answers/solutions. Calculators/texts/notes
are not permitted.
1. [6 points] We saw that an invertible square block partitioned m
Linear Algebra
Exam 2 - Fall 2008
November 6, 2008
Name:
Honor Code Statement:
Directions: Complete all problems. Justify all answers/solutions. Calculators are not
permitted.
1. [8 points] The following matrix is a block partitioned matrix. Show/prove th
Linear Algebra
Exam 1
Spring 2013
March 14, 2013
Name:
Honor Code Statement:
Additional Statement: I have not observed another violating the Honor Code.
Directions: Complete all problems. Justify all answers/solutions. Calculators, notes or
texts are not
LINEAR ALGEBRA
EXAM 3
FALL 2011
Name:
Honor Code Statement:
Signature:
Directions: Complete all problems. Justify all answers/solutions. Each of the rst
two problems is worth 5 points. The third problem is worth 21 points (3 points for
each part). Problem
LINEAR ALGEBRA
EXAM 3
SPRING 2007
Name:
Honor Code Statement:
Directions: Complete all problems. Justify all answers/solutions. Calculators are
not permitted. Best of luck.
(1) Analyze the long-term behavior (sometimes called the steady-state response)
of
LINEAR ALGEBRA
EXAM 3
FALL 2008
Name:
Honor Code Statement:
Signature:
Directions: Complete all problems. Justify all answers/solutions. Calculators,
texts, and notes are not permitted. Please turn o all electronic devices. Please
ensure that you turn in
LINEAR ALGEBRA
EXAM 3
SPRING 2013
Name:
Honor Code Statement:
Additional Honor Code Statement:
Signature:
Directions: Complete all problems. Justify all answers/solutions. Calculators,
texts, and notes are not permitted. Please turn o all electronic devic
Math 200 - Linear Algebra
Spring Term 2014
Course Description
February 6, 2014
Instructor: John Schmitt
Oce: Warner 311, Tel: Ext. 5952
E-mail: jschmitt@middlebury.edu
Oce Hours: Tuesday 1:30pm3pm, Wednesday 9am10am, Friday 2:454pm and by
arrangement
Meet
Problem Sets
MATH 200 - Linear Algebra
Spring 2014
Problems from Lays Linear Algebra, 4th edition
March 17, 2014
Table 1: Problem Sets are due day of next class meeting.
February 10
February 17
February 24
March 3
March 10
March 17
March 24
Monday
1.1 - 3
Invertible Matrix Theorem
Theorem 1 Let A be an n n matrix. The following are equivalent:
1. A is an invertible (non-singular) matrix.
2. A is row equivalent to the n n identity matrix.
3. A has n pivot positions.
4. The equation Ax = 0 has only the trivi
Linear Algebra
Exam 1
Spring 2007
March 15, 2007
Name:
Honor Code Statement:
Directions: Complete all problems. Justify all answers/solutions. Calculators are not
permitted.
1. Dene: Given vectors v1 , v2 , . . . vp in Rn then the subset of Rn spanned by