Assignment 4
Due Oct 12.
1. Consider the following 3 systems of equations. Which 2 of them are equivalent with one-another
(a)
2x 2y + z = 9
x+y+z =2
y+z =1
Im going to calculate the answer x=1, y=-2,z=3
(b)
x+y =0
xy =2
3x + 3y + z = 2
Im going to calcul
Math 1503 Assignment 2
September 13, 2012
Give Your name and Student Number:
This assignment concerns the material from sections 1.2 and pp. 48-49.
For Additional Practice, you should look at the following questions from exercise_
1. Consider the Followin
2. As in Example 2182 we want to find scalars x and y such that:
x 1 + 2 '_ 1
3 y 6 2
That is, we want to solve the system of linear equations
#13: + 23; = l
3x~6y=2
Rowreducing the augmented matrix for the system gives
~1 2 1 mi 2 1
3 w6 2 _._+3R1+R3 0 0
Chuai, Jianjun/Math 1503/2012-11-07
MATH1503 - ASSIGNMENT 9 - SOLUTIONS
Give your name and student number:
Due: Nov. 23, Friday
This assignment concerns the material from sections 3.6, 4.1 and 4.2.
1. Give an example to show that det(A + B) = det(A) + det
-A function is even if f (x) = f (x). A function is odd if
f (x) = f (x).
Definition:
-The composition of functions is denoted (f g)(x) = f (g(x) for
each x in the domain of g for which g(x) is in the domain of f .
The Monod growth function r(N) describes
Inequalities with absolute values:
|A| < b = b < A < b
|A| > b = A > b or A < b
Example
Solve |2x + 7| 15
Example
Solve |9 2x| > 13
Important in differential calculus
Slope of a line through points (x1, y1) and (x2, y2) is m =
y2y1
x2x1
Point-slope form:
Math 1503 Unit 1
September 9, 2016
Concepts and skills
I
vectors, addition, scalar multiplication, subtraction
I
parallelogram rule, triangle rule
I
linear combinations, span
I
standard basis vectors
I
length
I
unit vectors
I
orthogonality, dot product, a
DEPARTMENT OF MATHEMATICS & STATISTICS
MATH 1503
Paper Assignment 1
Instructions: Complete each of the following tasks.
A. Homework problems to be handed in can be found on the reverse side of
this page.
Handing in Assignment 1:
Enter your name at the top
DEPARTMENT OF MATHEMATICS & STATISTICS
MATH 1503
Paper Assignment 2
Instructions: Complete each of the following tasks.
Homework problems to be handed in can be found in part C below.
A. Read the text, sections 1.1 and 1.2. And look at the rst part of Thi
University of New Brunswick Math 1503
Test #3
Name: _
Student Number: _
You have 24 hours to upload the completed test to the Test Dropbox. You may take a clear picture or
scan it and then upload the file. Print out the test use the space provided to writ
Math 1503 Assignment 1
Give your name and student number:
Print of a copy of this (two page) assignment, either double sided or staple
the two pages together. Answer the questions on the question paper.
This assignment concerns the material from sec
Chuai, Jianjun/Math 1503/2012-10-15
MATH1503 - ASSIGNMENT 6 - SOLUTIONS
Give your name and student number:
Due: Oct. 26, Friday
This assignment concerns the material from sections 3.1 - 3.3.
1. Show that if A is invertible and BA = CA, then B = C. Give a
Math 1503, Linear Algebra
1
1
The dot product and angles
Scalar Products
There are two useful ways to take products of vectors.
The rst is the scalar product, also known as an inner product.
A vector space can have many dierent scalar products as we shall
University of New Brunswick
Math 1503
Department of Mathematics & Statistics
Midterm 1
October 6, 2008
Name:
Total points: 30
Instructions: Calculators are not permitted. Show your steps and calculations, so that your answers
are justied.
1. (4 points) Th
Circle the name of your instructor:
GEGENBERG
INGALLS
SALMANI
TINGLEY
DEPARTMENT OF MATHEMATICS & STATISTICS
MATH 1503 MID-TERM #1
OCTOBER 12, 2011
STUDENT I.D.:
NAME:
Closed Book exam: no books, notes, calculators
[3]
1. The sketch below shows two vector
Solution to Paper Assignment 3
Problem 1) [3-1 marks] Let = [1, 0, 1, 2] and = [2, 2, 3, 1]. Find the projection of onto (and call
x
y
y
x
your answer ). Without doing any computations, why can you tell that the angle between and is
z
x
z
obtuse?
Solution
Solution to Paper Assignment 2
Problem 1) [3-1-1 marks] Consider the following vectorial equation:
2( 2 ) (3 ) =
u
v
v u
0.
Express as a multiple of . Do , point in the same direction? Which one is longer?
v
u
u v
Solution. We rst use distributivity to g
Math 1503, Test 2 Review
1. Let A be the matrix
1
1 1 1
0 .
A = 1 3
3 1 5
1
2 in col(A)?
(a) Is b =
1
(b) Is w = 1 3 3 in row(A)?
(c) Find a basis for col(A).
(d) Find a basis for row(A).
(e) Find a basis for null(A).
(f) Find a basis for null(AT ).
Par
University of New Brunswick Math 1503
Name: _
Student Number: _
You have 24 hours to upload the completed test to the Test Dropbox. You may take a clear picture or
scan it and then upload the file. Print out the test use the space provided to write your s