The University of Sydney
MATH1902 Linear Algebra (Advanced)
Semester 1
11.
Longer Solutions to Selected Exercises for Week 8
2016
The matrix equation A0 = 0A = 0 makes sense by interpreting the symbol
The University of Sydney
MATH1902 Linear Algebra (Advanced)
Semester 1
Exercises for Week 1
2016
There are thirteen teaching weeks. There will be one set of exercises each week from Week 1
through 12,
The University of Sydney
MATH1902 Linear Algebra (Advanced)
Semester 1
Exercises for Week 2
2016
Preparatory exercises should be attempted before coming to the tutorial. Questions labelled with
an ast
The University of Sydney
MATH1902 Linear Algebra (Advanced)
Semester 1
Exercises for Week 8
2016
Preparatory exercises should be attempted before coming to the tutorial. Questions labelled with
an ast
The University of Sydney
MATH1902 Linear Algebra (Advanced)
Semester 1
7.
Longer Solutions to Selected Exercises for Week 3
2016
(i) First observe that QP = 2i + 2j + k and QR = i + 2j + 2k , yielding
The University of Sydney
MATH1902 Linear Algebra (Advanced)
Semester 1
9.
Longer Solutions to Selected Exercises for Week 2
2016
(ii) Observe that P Q = SR = 2i 2j k so P QRS is a parallelogram. But
The University of Sydney
MATH1902 Linear Algebra (Advanced)
Semester 1
8.
If |v| = 2, find |u| in each of the following cases.
(i)
9.
u = 3v
(ii) u = 21 v
(iii) u = 3v
(iv) v = 3u
In each diagram belo
The University of Sydney
MATH1902 Linear Algebra (Advanced)
Semester 1
Longer Solutions to Selected Exercises for Week 1
11.
2016
6
8
d
By Pythagoras d = 82 + 62 = 10 . If is the angle to the horizont
The University of Sydney
MATH1902 Linear Algebra (Advanced)
Semester 1
Exercises for Week 3
2016
Preparatory exercises should be attempted before coming to the tutorial. Questions labelled with
an ast
The University of Sydney
MATH1902 Linear Algebra (Advanced)
Semester 1
7.
Board Tutorial for Week 3
2016
Consider the following points in space:
P (1, 1, 1) , Q(1, 1, 0) , R(0, 1, 2) , S(2, 3, 3)
(i)
The University of Sydney
MATH1902 Linear Algebra (Advanced)
Semester 1
6.
2016
Board Tutorial for Week 2
Given points A(4, 1, 5) and B(6, 1, 2) in space, find
(i) the position vectors of A and B in te
practice
Write your SID here
The University of Sydney
School of Mathematics
& Statistics
MATH1902 Practice for Quiz 1.
Family Name :
.
Other Names :
.
Day/time/room :
.
Signature :
.
The real quiz (15