Q
Cofactor Expansion
Definition: Let A 2 law] be an n X n matrix. Let [VIZ-j be the
(n — 1) x "- 1) submatrix obtained by- deleting the it” row and
3"” column of A. The determinant of [VIZ-3,- is called the mg 0f _
(135,-. The cofactor AU. of a4]- is .
Course Schedule for MAT H114 Algebra for College Students
TCOs
Assignments
Write Score
Date Completed
Week 1: M inimum Goal - Log onto M M L to enroll in course, Orientation exam (online only),
E nt ry homework, 13.1 13.5
Log onto M M L to enroll in the
c
Math 114 Spring 2011 Final Exam
1. The set of points equidistant from the points (27—171) and (4737 —5) is a plane.
What is the equation of this plane?
(A)3m+y—22=0 (B)2.7:~4y—6z=—6
(C) m+2y—3z= 11 (D) 2m7714y+102= 15
(E)6m+2y—4z=5 (F)m+y+z=2
(G) 2m+2y+
Math 114 Lecture: Matrices and its Operations
Lecturer: Jose Maria L. Escaner IV, Ph.D.
Lecture 2
One purpose of this course is to explore another form of solving systems of linear equations. We now
introduce the concept of a matrix.
Denition 1 An m n mat
Math 114 Lecture: Properties of Matrix Operations
Lecturer: Jose Maria L. Escaner IV, Ph.D.
Lecture 3
In our previous discussion, we have already realized that for two square matrices A and B, matrix
multiplication is not commutative. We now list other pr
MATH 114 EXAM 1 ANDREW SAMUELSON
This is a two hour exam. Show all work for full credit. No electronic devices or
formula sheets are allowed.
Problem 1 (10 points):
(a) (5 points) Find the volume of the solid generated by revolving the region bounded by
MATH 114 EXAM 2 ANDREW SAMUELSON
This is a two hour exam. Show all work for full credit. No electronic devices or
formula sheets are allowed.
2
Problem 1 (10 points): Evaluate /sin xcoszx dz.
Problem 2 (10 points): Evaluate /tanzsec4z dz. MATH 114 EXAM
Solve for y
x-2y=8
2y=-x+8
y=-1/2x+4
x+2y=0
2y=x
y=1/2x
then I subbed in 0 for x on both problems
(0,4) with a slope of -
(0,0) with a slope of
Plot point and then go down one
and to the right 2
Plot point and then go up one
and 2 to the right
draw the l
Math 114-C01 Summer 2010 Exam 1
Name: Last. First.
Book closed. Calculator and notes may not be used. You may use the table of
integrals.
(1) (20 points) The region shown in the picture is revolved about the y—axis. The
formulas below represent the volume
Math 114 Lecture: Linear Systems
Lecturer: Jose Maria L. Escaner IV, Ph.D.
Lecture 1
Recall the following in college algebra: A linear equation in 2 variables is an equation of the form
ax + by = c where a, b,and c are real numbers. A solution of this equ
Math 114 Lecture: The Inverse of a Matrix
Lecturer: Jose Maria L. Escaner IV, Ph.D.
Lecture 8
Denition 1 An n n matrix A is said to be nonsingular (or invertible)if there exists an n n matrix
B such that AB = BA = In . The matrix B is called the inverse o
Math 114 Lecture: Matrix Representation of Linear
Systems
Lecturer: Jose Maria L. Escaner IV, Ph.D.
Lecture 4
This section is devoted in transforming linear systems into its matrix form. We will do this since
this will suppose to make our solving linear s
Graphing Facts
The y-axis on the graph is the vertical axis (up and down)
The x-axis on the graph is the horizontal axis (side to side)
Graphs are always titled as "Something vs. Something else". The "something" is
plotted along the y-axis. The "something
MATH Guidebook
Table of Contents
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Course Structure
MATH Program at DeVry
Course Map
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Locating the Essentials: Syllabus, Gradebook, Doc Sharing, HUB
2.0 Discussion Requirements and Tu
Course Schedule for MATH114 Algebra for College Students
Assignments
Write Score
Date Completed
TCO
s
Week 1: Minimum Goal - Log onto MML to enroll in course, Orientation exam (online only),
Entry homework, 13.1 13.5
Log onto MML to enroll in
the course.
Running head: PROPOSAL PITCH FOR FLEXIBLEWORK SCHEDULES
1
Proposal Pitch for Flexible Work Schedules
Melissa Timm
DeVry University
Proposal Pitch for Flexible Work Schedules
2
Proposal Pitch for Flexible Work Schedules
I.
Introduction
A. Topic
1)
Research