Assignment #5: Partitioned Matrices, Matrix Factorizations, and Applications to Economic
Models and Computer Graphics
Due date: Monday, March 9, 2015 (4:00pm)
Name: _
Section Number
Assignment #5: Partitioned Matrices, Matrix Factorizations, and Applicati
HW 1 Solution
1. = 2 = = 2 = 2( )
2. From the diagram, we see that = 2 + 3 .
3.
=
4.
3
4
= 3 4 + 2 6 = 0
2 6
= 3! + (2)! = 13
So a unit vector v in the direction of u is
3
1
1
3
13
=
=
=
2
1
CSci 2033, F12
Homework # 6
Due Date: 12/10/2012
1. The yearly temperature cycle in Fairbanks, Alaska is given in the next table.
Date
abc d
e
fgh
i
jk
lm
Degrees 14 9 2 15 35 52 62 63 58 50 34 12 5
There are 13 equally spaced data points which corresp
Assignment #2: Vector and Matrix Equations, Solution Sets of Linear Systems, and
Applications
Due date: Monday, February 9, 2015 (4:00pm)
Name: _
Section Number
Assignment #2: Vector and Matrix Equations, Solution Sets of Linear Systems, and
Applications
Assignment #8: Diagonalization, Applications, Iterative Estimates of Eigenvalues/Eigenvectors
Due date: Monday, April 13, 2015 (4:00pm)
Name: _
Section Number
Assignment #8: Diagonalization, Applications, Iterative Estimates of Eigenvalues/Eigenvectors
Du
Assignment #4: Introduction to Matrix Operations and the Inverse of a Matrix
Due date: Monday, March 3, 2015 (4:00pm)
Name: _
Section Number
Assignment #4: Introduction to Matrix Operations and the Inverse of a Matrix
Due date: Monday, March 3, 2015 (4:00
CSC 2033, Week 10 Monday Class
Theme: Computing Eigenvalues
Class Outline
1.
2.
3.
4.
Introduction
Some Review/Followup from Last Time
The Power Method
To Do
Introduction
Question: How to actually compute algorithms? Three observations:
1. Part of earlie
Assignment #7: Determinants, Eigenvalues, and Eigenvectors
Due date: Monday, April 6, 2015 (4:00pm)
Name: _
Section Number
Assignment #7: Determinants, Eigenvalues, and Eigenvectors
Due date: Monday, April 6, 2015 (4:00pm)
For full credit you must show al
Assignment #6: Subspaces, Bases, Dimension and Rank
Due date: Monday, March 23, 2015 (4:00pm)
Name: _
Section Number
Assignment #6: Subspaces, Bases, Dimension and Rank
Monday, March 23, 2015 (4:00pm)
For full credit you must show all of your work.
1. In
Assignment #3: Linear Independence, Linear Transformations and Linear Models,
Applications
Due date: Monday, February 16, 2015 (4:00pm)
Name: _
Section Number
Assignment #3: Linear Independence, Linear Transformations and Linear Models, Applications
Due d
Assignment #1: Number Representation on a Computer, Loss of Precision, Systems of
Linear Equations, Echelon Form
Due date: Monday, February 2, 2015 (4:00pm)
Name: _
Section Number
Assignment #1: Number Representation on a Computer, Loss of Precision, Syst
CSci 2033
Homework 8 Key
Spring 2017
Problem 1 Solution. Use the characteristic equation or any other manual technique to find
the eigenvalues of A are 6 and 4. Then solve (A I)x = 0 for = 6 and 4, respectively, to
find corresponding eigenvalues. For exam
CS 6110 Lecture 7
WellFounded Induction
6 February 2013
Lecturer: Andrew Myers
1 Summary
In this lecture we:
define induction on a wellfounded relation;
illustrate the definition with some examples, including the inductive definition of free variables

Your MATLAB license will expire in 10 days.
Please contact your system administrator or
MathWorks to renew this license.

testFunction(2)
y =
4
ans =
4
clear
project1_partA
ans =
4
1
ans =
3
1
4
Error using *
Inner matrix dimensions mus
Assignment 1
Due:
Fri Sep 25 2015 09:05 AM CDT
Description
The questions in this assignment are are taken from or similar to the questions in
Sections 1.11.4 of the textbook.
Instructions
This assignment is due Friday, September 25 at the beginning of le
CSci 2033  Practice Midterm #2 Answer Key
1. (X A)B = BC,
(X A) BB 1 = BCB 1 . Both sides rightmultiplied by B1 .
I
1
X A = BCB , and so X = BCB 1 + A.
2 6
14 4 18
0
3 12 6
3
. Further row reduction of U is not needed. For L, copy the
2. Take U =
0
CSci 2033  Practice Midterm #2
1. Solve the matrix equation (X A)B = BC for X, assuming that the matrices A, B, and C are invertible.
2. Suppose that a matrix A has been reduced to
2
2 6
14 4
18
1
6 19 4
6 0
A=
2
7 18 1 11 0
0
3 8
17 3
18
2 6
14 4 1
CSci 2033  Practice Final
In addition to these example questions from material covered since the last midterm, there will also be
questions similar to those that appeared on the first two midterms.
1. Find a, b, and c for which the matrix
a
b
A=
c
1
2
1
CSci 2033  Practice Final Answer Key
1. Solve AT A = I for a, b, and c. The only
1
c = 3 .
1 1
1 2 3
5 , AT A =
2. A = 2
1 5 4
3
4
2
possibilities are a = 0, b = 6 , c =
1
5 =
4
1
2
3
14
21
21
42
1
3
or a = 0, b =
2
,
6
,
AT b =
Solving AT Ax = AT b,
1
Assignment 6
Due:
Wed Dec 16 2015 09:05 AM CST
Description
The questions in this assignment are taken from or similar to the questions in Sections
4.3, 5.1 and 7.3 of the textbook.
Instructions
This assignment is due Wednesday, December 16 at the beginnin
Assignment 3
Due: Fri Oct 30 2015 09:05 AM
Description
The questions in this assignment are taken from or similar to the questions in Sections
3.13.4 of the textbook.
Instructions
This assignment is due Friday, October 30 at the beginning of lecture. You
Assignment 4
Due:
Fri Nov 13 2015 09:05 AM CST
Description
The questions in this assignment are taken from or similar to the questions in Sections
3.53.7 of the textbook.
Instructions
This assignment is due Friday, November 13 at the beginning of lecture
2033 HW4 Solution
Policy Note: except the situations listed under each question, any other reasonable penalty is
possible.
1.
(2 points)
Wrong answer: 2. Right answer without counterexample or explanation: 1.
An
2033 HW3 Solution
Policy Note: except the situations listed under each question, any other reasonable penalty is possible.
1.
(4 points)
At least one of the 3 intermediate steps should show up, if not 1. Calculat
CSC 2033, Week 11 Friday Class
Theme: Orthogonal is good.
Class Outline
1.
2.
3.
4.
5.
6.
Introductory Problem
Introduction and Review
The GramSchmidt Process
QR factoring
Matlab Implementation of GramSchmidt
To Do
Introductory Problem
Let u = (2,4,1,