1
General Information
Course:
Main Lecturer:
Further Lecturers:
Literature:
2
Linear Algebra
Gerold Jäger
Magnus Lindh, Robin Lundberg, Lars Daniel Öhman.
Howard Anton, Chris Rorres:
“Elementary Linear Algebra with Supplementary Material”
Course schedule
Date
Lectures
Time
Room
Mon 08/10
8–10
HsalA
Tue 09/10
8–10
HsalA
Wed 10/10
8–10
HsalA
Thu 11/10
8–10
HsalA
Fri 12/10
8–10
HsalA
Mon 15/10
8–10
HsalA
Tue 16/10
8–10
HsalA
Wed 17/10
8–10
HsalB
Thu 18/10
8–10
HsalB
Fri 19/10
8–10
HsalA
Mon 22/10
Problem Solving Sessions
Time
Group 1
Group 2
Group 3
Group 4
10–12
MA136
MA146
MA156
MA166
10–12
MA136
MA146
MA156
MA166
10–12
MA136
MA146
MA156
MA166
10–12
MA136
MA146
MA156
MA166
10–12
MA136
MA146
MA156
MA166
9–13
Tue 23/10
8–10
HsalA
Wed 24/10
8–10
HsalA
Thu 25/10
8–10
HsalA
Fri 26/10
8–10
Mon 29/10
——— Pre-exam ÖP, Skrivsal 1,2 ———
10–12
MA136
MA146
MA156
MA166
HsalA
10–12
MA136
MA146
MA156
MA166
8–10
HsalA
10–12
MA136
MA146
MA156
MA166
Tue 30/10
8–10
HsalA
Wed 31/10
8–10
HsalA
10–12
MA136
MA146
MA156
MA166
Thu 01/11
8–10
HsalA
Fri 02/11
8–10
HsalA
10–12
MA136
MA146
MA156
MA166
Mon 05/11
9–15
——— Exam, ÖP, Skrivsal 2,3 ———
Sat 15/12
9–15
——— Re-exam, Easter Pavillon, Room 4 ———
1
3
Plan for the Course
Lecture
Date
Section
Recommended Exercises
1
Mo, 08/10
1.1 + 1.2
1.1: 1,7,9,11,13 + 1.2: 1,3,5,7,13,21
2
Tue 09/10
1.2 + 1.3
1.2: 25,27,31,35 + 1.3: 1,3bgj,5adf,7bc,11,17
3
Wed 10/10
1.4 + 1.5
1.4: 5,7,11,12,19,39 + 1.5: 1,3,9,11,17
4
Thu 11/10
1.5 + 1.6
1.5: 25,27,29 + 1.6: 1,3,5,9,15,19
5
Fri 12/10
1.7 + 1.8
1.7: 5,11,17,19,21,27,29,31,35 + 1.8: 1,3,13,15
6
Mon 15/10
2.1 + 2.2
2.1: 1,3,5,17,21,23,25,27,29,31 + 2.2: 5,13,15
7
Tue 16/10
2.2 + 2.3
2.2: 29,35 + 2.3: 5,9,11,17,19,27,29
8
Wed 17/10
3.1 + 3.2
3.1: 3,5,7,9,13,25,27,31 + 3.2: 1,3,5,7,9,11,13,15,17,23,25
9
Tue 18/10
3.3 + 3.4
3.3: 1,3,5,7,9,11,15,17,19,21,25,29,33,37 + 3.4: 1,7,9,15,17,21,25
10
Fri 19/10
3.5
11
Tue 23/10
4.1 - 4.5
12
Wed 24/10
4.9
4.9: 1,3,7,9,11,13,15,17
13
Thu 25/10
4.10
4.10: 1,3,5,7,9,11,13,23
14
Fri 26/10
4.11
4.11: 1,3,5,7,9,13
15
Mon 29/10
5.1
5.1: 1,3,5,7,9,11
16
Tue 30/10
5.2
5.2: 1,3,5,7,9,19,23
17
Wed 31/10
7.1 + 7.2
18
Thu 01/11
Repetition
19
Fri 02/11
Repetition
3.5: 1,3,7,13,15,17,19,25,29
4.2: 1,3,7,9 + 4.3: 1,3,5,7 + 4.4: 1,3,7
7.1: 1,3,5,7,13 + 7.2: 1,3,5,7
2
4
Examination Rules
The evaluation of this course is based on two parts (see Section 2 for the dates and times):
• Pre-exam: The pre-exam is written on October 22 within 4 hours and covers the first half of the
course, i.e., chapters 1 to 3 of the book. You can reach maximum 4 points in this pre-exam which
can be added to the result of the exam. A calculator is allowed.
• Exam: The exam is written on November 5 within 6 hours and covers the whole course. You can
reach maximum 24 points in this exam (possibly plus 4 extra points from the pre-exam). Again a
calculator is allowed.
For passing the course it is not required to write the pre-exam with a minimum of 12 points including
the points of the pre-exam. Writing the pre-exam is recommended, but not necessary.
Both, pre-exam and exam are formulated in English and Swedish, and can be solved in both, English
and Swedish as well.
The grades are as follows:
• The grade 5 requires at least 22 points.
• The grade 4 requires at least 17 points.
• The grade 3 requires at least 12 points.
5
Mistakes in Answers in the Book
Exercise
Correct Solution
1.7.11
3.2.3(d)
Diagonal element a33 of A5 is 5−k
√
√
17 − 26
√
401
3.2.9(a)
u ◦ u = 14
3.2.23(a)
cos(θ) =
3.3.5
√1 (1, −1, 1)
3
3.3.33
1
4.2.1
(a),(c),(d),(e)
4.2.3
(a),(b),(d)
4.2.9
(a),(d)
4.5.3
Basis:
7.1.3
(a),(b),(d),(e),(f) and A = A−1
3.2.3(b)
√1 ,
2
i.e., θ = 45◦
(− √13 (1, −1, 1) is also possible)
1
3 , 1, 0, 0
, − 61 , 0, − 14 , 1
3
, Dimension: 2