MATH 1009-B
TEST 1: Solutions
January 2013
PART A: MULTIPLE CHOICE QUESTIONS.
A1.
The domain of the function f (x) = (3 x)3/2
is
(a) (, 3), or, equivalently, cfw_x < 3 .
(b) (, 3], or, equivalently, c
MATH 1104 ABCDE Final/Deferred Exam
April 2006
Page
2
1 2
1
2 5 3
1. Let A = 1 3 and let B =
.
4 2 1
6
4 2
What is the second column of AB.
2. If A
a)
1 2
1 4
8
b) 2
4
7
a) 2
22
6
6
2 1
=
2
c
BIT 1101A
Answers to Test 3
Instructor: Dr. A. Alaca
1. U =
Span
November 6, 2006
1
1
1
1 , 0 and W = Span 0 .
0
1
1
Thus U and W are subspaces.
V and H do not have the zero vector, so they
MATH 1104B, Practice Problems
MATH 1104B Linear Algebra
for Engineering and Computer Science Students
Practice Problems for Winter 2006
Instructor:
Dr. Ayse Alaca,
Herzberg Physics Office #4348
Tel: (
MATHEMATICAL TRIPOS
Monday 2 June 2003
Part II
Alternative A
1.30 to 4.30
PAPER 1
Before you begin read these instructions carefully.
Each question is divided into Part (i) and Part (ii), which may or
MATHEMATICAL TRIPOS
Tuesday 6th June, 2006
Part IA
1.30 to 4.30
PAPER 3
Before you begin read these instructions carefully.
The examination paper is divided into two sections. Each question in Section
MATHEMATICAL TRIPOS
Wednesday 8 June 2005
Part IB
1.30 to 4.30
PAPER 2
Before you begin read these instructions carefully.
Each question in Section II carries twice the number of marks of each questio
MATHEMATICAL TRIPOS
Monday 31 May 2004
Part II
Alternative B
1.30 to 4.30
PAPER 1
Before you begin read these instructions carefully.
The number of marks for each question is the same.
Additional cred
MATHEMATICAL TRIPOS
Friday 4 June 2004
Part IB
1.30 to 4.30
PAPER 4
Before you begin read these instructions carefully.
Each question in Section II carries twice the credit of each question in Section
MATHEMATICAL TRIPOS
Friday 9th June, 2006
Part IB
1.30 to 4.30
PAPER 4
Before you begin read these instructions carefully.
Each question in Section II carries twice the number of marks of each questio
MATHEMATICAL TRIPOS
Thursday 29 May 2003
Part IA
9 to 12
PAPER 1
Before you begin read these instructions carefully.
Each question in Section II carries twice the credit of each question in Section I.
MATHEMATICAL TRIPOS
Monday 6 June 2005
Part IA
9 to 12
PAPER 4
Before you begin read these instructions carefully.
The examination paper is divided into two sections. Each question in Section II
carri
MATHEMATICAL TRIPOS
Tuesday 1st June 2004
Part IA
1.30 to 4.30
PAPER 3
Before you begin read these instructions carefully.
Each question in Section II carries twice the number of marks of each questio
MATHEMATICAL TRIPOS
Friday 2nd June, 2006
Part IA
1.30 to 4.30
PAPER 2
Before you begin read these instructions carefully.
The examination paper is divided into two sections. Each question in Section
MATHEMATICAL TRIPOS
Friday 28th May 2004
Part IA
1.30 to 4.30
PAPER 2
Before you begin read these instructions carefully.
Each question in Section II carries twice the number of marks of each question
MATHEMATICAL TRIPOS
Wednesday 2 June 2004
Part IB
1.30 to 4.30
PAPER 2
Before you begin read these instructions carefully.
Each question in Section II carries twice the credit of each question in Sect
MATHEMATICAL TRIPOS
Thursday 9 June 2005
Part II
1.30 to 4.30
PAPER 3
Before you begin read these instructions carefully.
The examination paper is divided into two sections. Each question in Section I
MATHEMATICAL TRIPOS
Monday 5th June, 2006
Part IA
1.30 to 4.30
PAPER 4
Before you begin read these instructions carefully.
The examination paper is divided into two sections. Each question in Section
MATHEMATICAL TRIPOS
Thursday 1st June, 2006
Part IA
9 to 12
PAPER 1
Before you begin read these instructions carefully.
The examination paper is divided into two sections. Each question in Section II
MATHEMATICAL TRIPOS
Wednesday 2 June 2004
Part II
Alternative A
9 to 12
PAPER 2
Before you begin read these instructions carefully.
Each question is divided into Part (i) and Part (ii), which may or m
MATHEMATICAL TRIPOS
Tuesday 7 June 2005
Part IA
1.30 to 4.30
PAPER 3
Before you begin read these instructions carefully.
The examination paper is divided into two sections. Each question in Section II
MATHEMATICAL TRIPOS
Thursday 9 June 2005
Part IB
9 to 12
PAPER 3
Before you begin read these instructions carefully.
Each question in Section II carries twice the number of marks of each question in
S
MATHEMATICAL TRIPOS
Thursday 5 June 2003
Part IB
9 to 12
PAPER 3
Before you begin read these instructions carefully.
Each question in Section II carries twice the credit of each question in Section I.
MATHEMATICAL TRIPOS
Thursday 2 June 2005
Part IA
9 to 12
PAPER 1
Before you begin read these instructions carefully.
The examination paper is divided into two sections. Each question in Section II
car
MATHEMATICAL TRIPOS
Friday 30 May 2003
Part IA
1.30 to 4.30
PAPER 2
Before you begin read these instructions carefully.
Each question in Section II carries twice the credit of each question in Section
MATHEMATICAL TRIPOS
Tuesday 1 June 2004
Part IB
9 to 12
PAPER 1
Before you begin read these instructions carefully.
Each question in Section II carries twice the credit of each question in Section I.
MATHEMATICAL TRIPOS
Monday 6 June 2005
Part II
1.30 to 4.30
PAPER 1
Before you begin read these instructions carefully.
The examination paper is divided into two sections. Each question in Section II
MATHEMATICAL TRIPOS
Friday 9 June 2006
Part II
9 to 12
PAPER 4
Before you begin read these instructions carefully.
The examination paper is divided into two sections. Each question in Section II
carri
MATHEMATICAL TRIPOS
Thursday 27th May 2004
Part IA
9 to 12
PAPER 1
Before you begin read these instructions carefully.
Each question in Section II carries twice the number of marks of each question in