MAT 1348 3X Test # 1 Spring/ Summer 2016
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MAT 1348 3X Practice Test # 3 Spring/Summer 2016
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MAT 1348 3X Practice Test # 2 Spring Summer 2016
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MAT 1348 3X Test # 2 Spring/Summer 2016
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Lecture 3
1
Lines and Planes
Line Segment and Line
Shortest distance between two given points is called a line segment.
Extending a line segment in both direction infinitely gives you a line
1
1.1
1
P
Lecture 23
Linear transformations
Definition
Let U and V be vector spaces. A function T : U V is called a linear
transformation if it satisfies the following two axioms.
For all u, u0 U,
T (u + u0 )
LECTURE 12
n
A set of all points in |R that satisfy all the equations
REDUCED ROW ECHELON FORM (RREF):
In addition to the property 1,2 and 3 of row echelon form (REF)
4 Each leading 1 is the only non-
Lecture 21
Eigenvalues and Eigenvectors of a (square)
matrix
1
Eigenvalues, Eigenvectors and EigenSpace
Let A be an n n matrix. A number R is called an eigenvalue of A if
there exists a non-zero vecto
Let W = cfw_(x, y, z) R3 | 5x 4y + z = 0 is a subspace of R3 .
1. Find a basis for W.
2. Show that cfw_(1, 0, 5), (10, 13, 2) is a orthogonal basis of W.
3. Let v = (4, 5, 0) R3 , find the orthogonal
Lecture 2: Vector Spaces
1
What is a Vector
Usually define as a geometric object that has both magnitude and direction.
What is the polar representation of the complex number z=-3?
z=-3
z=3
you may sa
Quiz 1
May 9, 2016
Q1) The number 2i is
A Real Number
B Pure Imaginary
C Complex Number
D Pure Imaginary and Complex
E Pure Imaginary and Real Number
Q2) Let x be any imaginary number and y be any rea
MAT 1348 3X Practice Test # 1 Spring/Summer 2016
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etudiant
1
MAT 1348 3X Practice Test # 1 Spring Summer 2016
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#5
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DGD 1 (SMD 425)
DGD 2 (SITE G0103)
DGD 3 (SITE A0150)
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Solution
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MAT 1348B (Prof. P. Scott) Homework 6
Due Thursday, March 10, 201
Instructor: Elizabeth Maltais
Discrete Mathematics for Computing
MAT1348C Test 1 Tuesday, January 24, 2017
Instructions
Clearly write your name and student number on this test, and sign it below to c
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DGD 2 (SITE G0103)
DGD 3 (SITE A0150)
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/15
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MAT 1348B (Prof. P. Scott) Homework 5
Due Thursday, March 3, 2016 by 11:00
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DGD 2 (SITE G0103)
DGD 3 (SITE A0150)
/11
MAT 1348B (Prof. P. Scott) Seventh Homework Assignment
Due Thursday Mar. 17, 2016 by 11:00am
Instructions:
Print out this docum
Circle:
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DGD 2 (SITE G0103)
DGD 3 (SITE A0150)
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First name:
ANNETT
Student number:
MAT 1348B (Prof. P. Scott) First Homework Assignment
Due Wednesday,
MAT 1348 3X Practice Test # 2 Spring/Summer 2016
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1
MAT 1348 3X Practice Test # 2 Spring Summer 2016
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5
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5
T HE R ULES OF I NFERENCE
Each of the Rules of Inference is a valid argument.
In each case, whenever the premises are all true, the conclusion will certainly be true.
The Rules of Inference give us
MAT1348C D ISCRETE M ATHEMATICS FOR C OMPUTING
E LIZABETH M ALTAIS
Brief Review for Test 3
!Warning! This is not everything you need to know, but its a good starting point for studying.
This review hi
MAT1348C D ISCRETE M ATHEMATICS FOR C OMPUTING
E LIZABETH M ALTAIS
Brief Review for Test 5
!Warning! This is not everything you need to know, but its a good starting point for
studying.
This review hi
MAT1348C D ISCRETE M ATHEMATICS FOR C OMPUTING
E LIZABETH M ALTAIS
Brief Review for Test 4
!Warning! This is not everything you need to know, but its a good starting point for studying.
This review hi
1. Suppose X is a subspace of R6, that X 75 cfw_O and that X 75 R6. Which of the following
statements are true?
I. X has a spanning set consisting of 6 vectors.
II. X has a linearly independent subset
Lecture 19
Determinants
1
Determinants: Algebraic Definition
Algebraically determinant of a square matrix A (denoted as det(A) is defined
to be:
For a 1 1 matrix A = [a],
det(A) = a.
a b
For a 2 2 m
hints for the suggested exercises
(1) Using the comparison test, determine if the following integrals converge or diverge:
#3
1
x2 + 1
dx
x3 + 3x + 2
Note that when x 1, x3 x3 + 3x + 2 and x2 x2 + 1,
List of suggested exercises, updated, Sections 10.1-4
For the DGDs of July 3rd, 5th and July 10th, 12th.
Section 10.2
(1)
Find the rst four non-zero terms of the Taylor series for the function about 0
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MAT 2348 Second Homework Assignment
Due Thursday, Feb. 6, 2014 at 11:20am
Instructions: Show all relevant work to receive full credit. Submit a nished product, not
a d