RYERSON UNIVERSITY
DEPARTMENT OF MATHEMATICS
MTH108 Examination
December 11, 2008
Name (print):
Signature:
Time allowed: 3 hours.
Student Number:
Instructions:
Fill in your name, student number, and signature in the spaces provided above. Keep your Ryers
Name: SoLuImA/g
Math 108 PRACTICE Exam 2, Fall 2013
0 You will have two hours for this exam. It has twelve questions totaling 100 marks (plus ve
marks extra credit).
0 If there are any items in your backpack that you might need during the exam, take them
Chapter 1
Solutions to Review Problems
Chapter 1
Exercise 42
Which of the following equations are not linear and why:
(a) x2 + 3x2 2x3 = 5.
1
(b) x1 + x1 x2 + 2x3 = 1.
2
(c) x1 + x2 + x3 = 5.
Solution.
(a) The given equation is linear by (?).
(b) The equa
Math 108 homework: September 18, 2013
2 1
2 3
1. (Book 2.5.1) Let A =
and B =
1 2 1
3
4 1
.
State the sizes of A, B, and AB, and compute the matrix AB.
0 1 1
2 3
1
2. (Book 2.5.2) Let A =
2 1 1
1 .
and B = 1 0
1 2
4
State the sizes of A, B, and AB, and co
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Name: SOLUTKONX
Math 108 PRACTICE Exam 1, Fall 2013
0 You will have two hours for this exam. It has twelve questions totaling 100 marks (plus ve
marks extra credit).
o If there are any items in your backpack that you might need during the exam, take th
Matt Luther - Math 1B03 Tutorial - Jan 19, 2012
1.2 #19
1.3 #15, 29
1.4 #11, 17
Problem. (1.2.19) Solve the linear system using any method:
3x1 + x2 + x3 + x4
=
0
5x1 x2 + x3 x4
=
0
The question asks us to solve it however we want. One method is to just s
RYERSON UNIVERSITY
DEPARTMENT OF MATHEMATICS
MTH108 Test 1
October 7, 2011
Time allowed: 50 minutes.
Name (PRINT):
My lab section number is:
Signature:
Student Number:
Instructions:
Fill in your name, student number, and signature in the spaces provided
RYERSON UNIVERSITY
DEPARTMENT OF MATHEMATICS
MTH108 Test 1
September 30, 2008
Name (print):
Signature:
Time allowed: 2 hours.
Student Number:
Instructions:
Fill in your name, student number, and signature in the spaces provided above. Keep your Ryerson p
RYERSON UNIVERSITY
DEPARTMENT
OF
MATHEMATICS
MTH 108
Final Exam
December 13, 2005
Total marks: 90
Time allowed: 3 Hours
NAME (Print):
STUDENT #:
Circle your section:
Section 1
Section 2
Section 3
Instructions:
Verify that your paper contains 12 questions
Assignment 3
MTH 108
Due in lab, week of Sept. 28 to Oct. 2, 2015
1. (1.3 q15) Find all values of k, if any, that satisfy the equation
k
[
] 1 1 0
1 0 2 1 = 0
k 1 1
0 2 3
1
2. (1.3 q17) Solve the matrix equation for a, b, c, and d.
[
] [
]
a
3
4
d 2c
=
Math 108 homework: September 18, 2013
1. Find all values of k, if any, that satisfy the
1
1
k 1 1
0
equation
1
0
k
1 = 0.
0
2
2 3
1
2. Find all values of k, if any, that satisfy the equation
1 2 0
2
2 2 k 2 0 3 2 = 0.
0 3 1
k
3. Verify Strassens sho
Math 108 homework: September 11, 2013
1. (Book 1.7.3) Determine whether the given pairs of vectors are orthogonal.
(a) = (1, 2), b = (2, 1)
a
(b) = (1, 1, 1), b = (0, 2, 2)
a
(c) = (1, 1, 1), b = (1, 2, 2)
a
(d) = (1, 1, 1), b = (0, 2, 1)
a
(e) = (2, 1, 0
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