Western University (Ontario)  Also known as University of Western Ontario
MATH 1229

Fall 2013
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Western University (Ontario)  Also known as University of Western Ontario
MATH 1229

Fall 2013
July 2015
Page 1
Mathematics 1229A (Online)
Final Examination
PART A
(35 marks)
A1. If U and V are the endpoints of vectors u = (5, 0, 2) and v = (3, 1, 1) respectively, and x = U V , find
x.
A: (2, 1, 3)
B: (2, 1, 5)
C: (8, 1, 1)
D: (8, 1, 1)
E: (8, 1, 3
Western University (Ontario)  Also known as University of Western Ontario
MATH 1229

Fall 2013
Thursday, October 6, 2011
Page 1
Mathematics 1229A
Test 1
CODE 111
PART A (18 marks)
Use the following for questions 1, 2 and 3.
Let u = (1, 0, 2) and v = (0, 1, 3).
1
mark
1. Find 3u + 2v.
A: (2, 3, 5)
B: (2, 1)
C: (3, 2, 0)
D: (3, 2)
E: (1, 2, 0)
Soluti
Western University (Ontario)  Also known as University of Western Ontario
MATH 1229

Fall 2013
1
Solutions to Assigned Homework Problems
Section 2.3
Question 1
To write the augmented matrix for a system of linear equations (SLE), we form
a matrix in which there is a row for each equation, and a column for each unknown, with an extra column for the
Western University (Ontario)  Also known as University of Western Ontario
MATH 1229

Fall 2013
1
Solutions to Assigned Homework Problems
Section 3.3
Question 1
It is easiest to recognize a homogeneous SLE when it is in standard form, so we
start by putting the given SLE into standard form:
x1
x2
x3
= 2x2
= x3
= x1
+
x3
x4
4x4
x1
2x2
x2
x1
x3
x3
Western University (Ontario)  Also known as University of Western Ontario
MATH 1229

Fall 2013
1
Solutions to Assigned Homework Problems
Section 3.2
Question 1
The linear system Ax = b has coecient matrix A whose entries are the coecients of the unknowns, on the LHSs of the equations, in the same order
they appear in the standard form SLE. All the
Western University (Ontario)  Also known as University of Western Ontario
MATH 1229

Fall 2013
Math 1229A/B
Unit 7:
Matrix Operations
(text reference: Section 3.1)
c V. Olds 2010
91
Unit 7
7
Matrix Operations
At the beginning of Unit 6, we dened the mathematical construct called a matrix. Next we
learn more about matrices, especially how to do matr
Western University (Ontario)  Also known as University of Western Ontario
MATH 1229

Fall 2013
Friday, October 12, 2012
Page 1
Mathematics 1229A
Test 1
CODE 111
PART A (18 marks)
Use the following for questions 1, 2 and 3.
Let u = (1, 2, 3) and v = (3, 2, 2).
1. [ 1
mark ] Find u 2v.
A: (5, 4, 1)
B: (2, 0, 1)
C: (5, 2, 1)
D: (5, 2, 1)
E: (4, 4, 6)
Western University (Ontario)  Also known as University of Western Ontario
MATH 1229

Fall 2013
Thursday, October 7, 2010
Page 1
Mathematics 1229A
Test 1
CODE 111
PART A (18 marks)
Use the following for questions 1, 2, 3 and 4.
Let u = (2, 1, 2) and v = (2, 3, 6).
1. [ 1
mark ] Find 3u v.
A: (12, 6, 24)
B: (12, 9, 36)
C: (4, 6, 0)
D: (8, 0, 0)
E: (8
Western University (Ontario)  Also known as University of Western Ontario
MATH 1229

Winter 2015
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Western University (Ontario)  Also known as University of Western Ontario
MATH 1229

Winter 2015
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Western University (Ontario)  Also known as University of Western Ontario
MATH 1229

Winter 2015
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Western University (Ontario)  Also known as University of Western Ontario
MATH 1229

Winter 2015
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Western University (Ontario)  Also known as University of Western Ontario
MATH 1229

Winter 2015
Examgle 2
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Western University (Ontario)  Also known as University of Western Ontario
MATH 1229

Fall 2013
Monday July 29 2013
Page 1
Mathematics 1229A (Online)
Final Examination
PART A
(35 marks)
NOTE: YOUR ANSWERS TO THE PROBLEMS IN PART A MUST BE
INDICATED ON THE SCANTRON SHEET.
A1. If v = (1, 3, 1, 2), find v .
A: 6
C: 5
B: 1
D: 15
E:
15
A2. Let u = (1, 1,
Western University (Ontario)  Also known as University of Western Ontario
MATH 1229

Fall 2013
Mathematics 1229A Assignment 3
Due by 12 noon EDT on Wednesday July 13, 2016
Reminder: Except for the True/False questions, you must show sucient work to justify your answers.
1. Let A be a 4 3 matrix, B be a 3 4 matrix, C be a 4 2 matrix, and D be a 3 2
Western University (Ontario)  Also known as University of Western Ontario
MATH 1229

Fall 2013
Monday July 28 2014
Page 1
Mathematics 1229A (Online)
Final Examination
PART A
(35 marks)
NOTE: YOUR ANSWERS TO THE PROBLEMS IN PART A MUST BE INDICATED ON THE SCANTRON SHEET. ALSO CIRCLE YOUR ANSWERS
IN THIS BOOKLET.
A1. If a = i + k and b = i j + 2k, fi