Matthew Straughn
Math 402
Homework 3
Homework 3
(p. 417-419) 12.5.4, 12.5.5, 12.5.12, 12.5.13
Exercise 12.5.4. Let (R, d) be the real line with the standard metric. Give an example of
a continuous fun
ConcepTest
Question
1 2 0 3
What is the dimension of the row space of A = 0 0 1 1?
0 0 0 0
A. 1
B. 2
C. 3
D. 4
E. None of the above.
A. Caine (adapted from MathVote)
ConcepTests for Linear Algebra
1/2
ConcepTest
Question
The picture shows a set of points in the plane
R2 . Which of the following axioms of a vector
space is NOT satisfied for this set?
A. Closure under Addition.
B. Additive Identity.
Intro. to Linear Algebra
Abstract Vector Spaces
Author: Dr. Caine
Definition: Let V be a set on which two operations, called
vector addition (u + v)
& scalar multiplication (cu),
are defined. If the l
3D ConcepTest
Question
With your pencil, show me the
vector:
1
A. Caine (adapted from MathVote)
(1, 0, 0)
ConcepTests for Linear Algebra
1/8
3D ConcepTest
Question
With your pencil, show me the
vector
ConcepTest
Question
If A is a 2 2 matrix, then det(kA) equals
A. k det(A).
B. 2k det(A).
C. k 2 det(A).
D. Not enough information is given.
A. Caine (adapted from MathVote)
ConcepTests for Linear Alge
Application: Clique Detection in Social
Networks
Prof. Caine
Office 8-213, Phone 909-869-4513, Email: [email protected]
Social Networks
Prof. Caine
Application: Clique Detection in Social Networks
2/5
E
Application: Message Encryption
Prof. Caine
Office 8-213, Phone 909-869-4513, Email: [email protected]
An Age Old Problem
Prof. Caine
Application: Message Encryption
2/4
A Simple Cipher
I
Message to Enc
Math 224 W17
Mr. Griffith
Project III
Name: _
Score: = _ / 40
The following is a preparation for the final exam. Staple your work and solutions to the back of
this sheet. This project includes 10 poin
Math 224 W17
Mr. W.O. Griffith
Project II
Name: _
Score: _ / 10
Consider the second order linear differential equation:
y P x y Q x y 0
to answer the following:
1. (4 points)
Show by direct substituti
Math 224 Midterm Practice
Mr. W.O. Griffith
Read all instructions carefully. Show all necessary work to fully answer each of the following
to the best of your ability. Points as indicated. Good Luck!
FORMULA SHEET FOR OMIS 40
From Chapter 4:
From Chapters 5 & 6:
N
P=
x
i
=
i =1
Y 0.5 N
0.5 N
N
P ( A|B ) =
n
x
x=
P (A
n
n
Rg =
(1 + Ri ) 1
n
i =1
Vn = V0 (1 + Rg )
N
2
(x
i
=
n
P ( X < x ) = 1 e x
Section 1.1 dy d dy 2. y = 2, = (2) = 0. Substituting y and into the ODE, we get 0 = x3 (2 - 2)2 , which dx dx dx dy = x3 (y - 2)2 on (-, ). is true for all x. Thus y = 2 is a solution to dx 1 -1 dy d
Mathematics 224 GENERAL COURSE INFORMATION
Fall 2006
Section 02, 8-210, TuTh 10:00am11:50am Instructor: Professor Stephen Wirkus, [email protected] (e-mail), 869-4513 (phone), 8-216 (office) All