Math 2030, Matrix Theory and Linear Algebra I, Fall 2015
Answers to the second midterm
c
Copyright 2015
P. Selinger. Do not redistribute.
Part I: True or false questions (2 points each)
Decide whether each statement is true or false. If it is false, give
1
Assignment # 4, Due Date: Monday February 10, 2014, in class
DEPARTMENT OF ENGINEERING MATHEMATICS
APPLIED LINEAR ALGEBRA
ENGM 1041
ASSIGNMENT # 4
Due Date: Monday February 10, 2014, in class
The Due Date is strict. No late assignments will be accepted.
Assignment # 9, Due Date: Monday March 24, 2014, in class
1
DEPARTMENT OF ENGINEERING MATHEMATICS
APPLIED LINEAR ALGEBRA
ENGM 1041
ASSIGNMENT # 9
Due Date: Monday March 24, 2014, in class
The Due Date is strict. No late assignments will be accepted.
1. Us
1
Assignment # 7, Due Date: Monday March 10, 2014, in class
DEPARTMENT OF ENGINEERING MATHEMATICS
APPLIED LINEAR ALGEBRA
ENGM 1041
ASSIGNMENT # 7
Due Date: Monday March 10, 2014, in class
The Due Date is strict. No late assignments will be accepted.
1. Le
Assignment # 8, Due Date: Monday March 17, 2014, in class
1
DEPARTMENT OF ENGINEERING MATHEMATICS
APPLIED LINEAR ALGEBRA
ENGM 1041
ASSIGNMENT # 8
Due Date: Monday March 17, 2014, in class
The Due Date is strict. No late assignments will be accepted.
1. Co
Dalhousie University/Fall 2016 - MATH 2030
Assignment 1 Solutions
Part A
1. The normal vector to this plane is n = (1, 1, 1) and O = (0, 0, 0) is a point on the plane,
hence the distance from the plane to Q is the projection of the vector from ) to Q onto
Euclidean m-space
vectors in Rm :
`
!
u = u1 ; u 2 ; um
and
`
!
w = w1 ; w 2 ; wm
`
!
u = u1 ; u2 ; u3 ; u4
vectors in R4 :
Examples:
4; `3; 0; 7
and
3; ` 41 ; `2; 6
`
!
u = u1 ; u2 ; u3 ; u4 ; u5
vectors in R5 :
Examples:
2; 3; 0; 1; `5
Sum of two vector
Math 2030, Matrix Theory and Linear Algebra I, Fall 2011
Homework 7
Due: Wednesday, November 9, 2011
Part I: True or false questions
Decide whether each statement is true or false. If it is false, give a counterexample or a reason.
x
y
z
1. The set of vec
Assignment # 3, Due Date: Monday January 30, 2012, in class
1
DEPARTMENT OF ENGINEERING MATHEMATICS
APPLIED LINEAR ALGEBRA
ENGM 1041
ASSIGNMENT # 3
Due Date: Monday February 3, 2013, in class
The Due Date is strict. No late assignments will be accepted.
1
1
Assignment # 6, Due Date: Monday March 3, 2014, in class
DEPARTMENT OF ENGINEERING MATHEMATICS
APPLIED LINEAR ALGEBRA
ENGM 1041
ASSIGNMENT # 6
Due Date: Monday March 3, 2014, in class
The Due Date is strict. No late assignments will be accepted.
1. Cons
Assignment # 10, Due Date: Friday April 4, 2014, in class or tutorial
1
DEPARTMENT OF ENGINEERING MATHEMATICS
APPLIED LINEAR ALGEBRA
ENGM 1041
ASSIGNMENT # 10
Due Date: Friday April 4, 2014, in class or tutorial
The Due Date is strict. No late assignments
Math 2030, Matrix Theory and Linear Algebra I, Fall 2015
Answers to the first midterm
c
Copyright 2015
P. Selinger. Do not redistribute.
Part I: True or false questions (2 points each)
Answer: True. We know that a b is orthogonal to the plane, so it is al
Math 2030, Matrix Theory and Linear Algebra I, Winter 2014
Answers to the second midterm
c
Copyright 2014
P. Selinger. Do not redistribute.
Answer: False. Indeed, the opposite is true: the vectors v1 , . . . , vn are
linearly dependent if and only if the
Math 2030, Matrix Theory and Linear Algebra I, Winter 2014
Answers to the first midterm
c
Copyright 2014
P. Selinger. Do not redistribute.
Part I: True or false questions
Answer: True. Its echelon form has at most 4 leading variables, so at
least 2 non-le
MATH 2030
Matrix Theory and Linear Algebra I
Summer 2015
MIDTERM I EXAM (SOLUTIONS)
1. (8 points): Mark the following statements as True (T) or False (F). No
explanation is necessary.
(a) False
(b) False
(c) True
(d) True
(e) True
(f) False
(g) True
(h) F
MATH 2030
Matrix Theory and Linear Algebra I
Summer 2015
MIDTERM I EXAM
Name:
ID:
This exam has 6 questions, 5 pages including this cover page.
You have 50 minutes to complete this exam.
No Calculators or any other aids are allowed.
Try your best and a
Assignment # 1, Due Date: Monday January 20, 2014, in class
1
DEPARTMENT OF ENGINEERING MATHEMATICS
APPLIED LINEAR ALGEBRA
ENGM 1041
ASSIGNMENT # 1
Due Date: Monday January 20, 2014, in class
The Due Date is strict. No late assignments will be accepted.
1
1
Assignment # 2, Due Date: Monday January 27, 2014, in class
DEPARTMENT OF ENGINEERING MATHEMATICS
APPLIED LINEAR ALGEBRA
ENGM 1041
ASSIGNMENT # 2
Due Date: Monday January 27, 2014, in class
The Due Date is strict. No late assignments will be accepted.
1
Assignment # 5, Due Date: Monday February 24, 2014, in class
1
DEPARTMENT OF ENGINEERING MATHEMATICS
APPLIED LINEAR ALGEBRA
ENGM 1041
ASSIGNMENT # 5
Due Date: Monday February 24, 2014, in class
The Due Date is strict. No late assignments will be accepted.
Math 2030, Matrix Theory and Linear Algebra I, Fall 2011
Homework 6
Due: Wednesday, November 2, 2011
Part I: True or false questions
Decide whether each statement is true or false. If it is false, give a counterexample or a reason.
1. If A1 and B 1 both e
is consistent, if and only if 5x + 3y + 10z = 0. This is the equation
of a plane.
Math 2030, Matrix Theory and Linear Algebra I, Fall 2011
Answers to Homework 4
Copyright c 2011 J. Barger and P. Selinger. Do not redistribute.
Part I: True or false questio
Math 2030, Matrix Theory and Linear Algebra I, Fall 2011
Homework 4
Due: Wednesday, October 12, 2011
Part I: True or false questions
Decide whether each statement is true or false. If it is false, give a reason.
1. If v1 , v2 are two non-zero vectors in R
Math 2030 Assignment 2 SOLUTIONS
(1) In this question you will use cross product to nd the generic equation of a plane from a list of three points on the plane. The cross product is an operation : R3 R3 R3 that takes two vectors u = (u1 , u2 , u3 ), v = (