HW2 Solution
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Let the quadratic polynomial be () = 2 + + . By substituting (1,1), (2,2) (3,5) into the
equation, we get a linear syste
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: Par
CSci 2033 - Example Midterm #1 Questions - Answer Key
1. a. Linearly dependent because there are more vectors than entries in the vectors.
b. Linearly dependent because the second vector is 1/3 times
CSci 2033 - Example Midterm #1 Questions
1. Determine which of the following sets of vectors are linearly independent. Give reasons for your answers.
6
2
1
3
4
3
a.
,
,
,
b. 12 , 4
4
9
12
7
3
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 -
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 Equati
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: Numbe
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, Linea
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)
CSCI 2033 Midterm 1
September 29, 2017
Name:
x.500:
Total points: 100
1. Consider the following linear system of equations:
2x1 + 2x2 + 4x3 = 6
4x1 4x2 8x3 = 12
3x2 3x3 = 15
(a) Express the linear sy
0801 2033 Quiz 2
September 22, 2017
Name: Total points: 10
1 3 1
1. Consider a linear system, [ 2 3 :| [ $1 ] = |: 1 :|
0
2 b
(a) Compute I) such that [ 2 ] exists using row operations. Show your work
CSCI 2033 Assignment 1:
The Reduced Row Echelon Form
Posted: Friday, September 22
Last updated: Monday, September 25
Due date: Thursday, October 5, 11:59 pm
In this assignment, you will implement a Ma
CSC 2033, Week 11 Friday Class
Theme: Orthogonal is good.
Class Outline
1.
2.
3.
4.
5.
6.
Introductory Problem
Introduction and Review
The Gram-Schmidt Process
QR factoring
Matlab Implementation of G
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 co
CS 6110 Lecture 7
Well-Founded Induction
6 February 2013
Lecturer: Andrew Myers
1 Summary
In this lecture we:
define induction on a well-founded relation;
illustrate the definition with some example
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, re
CSCI 2033 Quiz 2
September 22, 2017
Name:
Total points: 10
1 3
1
x
1
1. Consider a linear system, 2 3
= 1 .
x2
2 0
b
x1
(a) Compute b such that
exists using row operations. Show your work.
x2
x1
x2
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,
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 In
CSci 2033 - Practice Midterm #2 Answer Key
1. (X A)B = BC,
(X A) BB 1 = BCB 1 . Both sides right-multiplied 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 reducti
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
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
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
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 a
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
3.1-3.4 of the textbook.
Instructions
This assignment is