The University of Sydney
School of Mathematics and Statistics
Solutions to Assignment
MATH1014: Introduction to Linear Algebra
Semester 2, 2017
Web Page: http:/sydney.edu.au/science/maths/u/UG/JM/MATH1014/
Lecturers: A. Fish, B. Roberts
This assignment is
The University of Sydney
School of Mathematics and Statistics
Solutions to Problem Sheet, Week 9
MATH1014: Introduction to Linear Algebra
Semester 2, 2016
Topics covered and aims
In lectures this week:
Markov processes, stochastic matrices, and steady st
The University of Sydney
School of Mathematics and Statistics
Solutions to Problem Sheet, Week 10
MATH1014: Introduction to Linear Algebra
Semester 2, 2016
Topics covered and aims
In lectures this week:
Leslie matrices.
Eigenvalues and eigenvectors.
Aft
The University of Sydney
School of Mathematics and Statistics
Solutions to Problem Sheet, Week 6
MATH1014: Introduction to Linear Algebra
Semester 2, 2016
Topics covered and aims
In lectures this week:
The augmented matrix of a system of linear equations
The University of Sydney
School of Mathematics and Statistics
Solutions to Problem Sheet, Week 2
MATH1014: Introduction to Linear Algebra
Semester 2, 2016
Topics covered and aims
In lectures this week:
Length of a vector, unit vectors
Angle between vector
The University of Sydney
School of Mathematics and Statistics
Solutions to Problem Sheet, Week 3
MATH1014: Introduction to Linear Algebra
Semester 2, 2016
Topics covered and aims
In lectures this week:
Equations of lines in R2 and R3 (vector form and Car
The University of Sydney
School of Mathematics and Statistics
Solutions to Problem Sheet, Week 13
MATH1014: Introduction to Linear Algebra
Semester 2, 2016
Revision questions
Vectors
4
3
1. Let u = 1 and v = 2 .
0
8
Find
(a) 2u 5v; (b) u u; (c) u v; (d)
The University of Sydney
School of Mathematics and Statistics
Solutions to Problem Sheet, Week 4
MATH1014: Introduction to Linear Algebra
Semester 2, 2016
Topics covered and aims
In lectures this week:
Modular arithmetic.
Solving equations over Zn .
Fe
The University of Sydney
School of Mathematics and Statistics
Solutions to Problem Sheet, Week 11
MATH1014: Introduction to Linear Algebra
Semester 2, 2016
Topics covered and aims
In lectures this week:
Determinants of 2 2 and 3 3 matrices.
Eigenvalues
CC0678A Semester 2 2014
The University of Sydney
School of Mathematics and Statistics
MATH1014
Introduction to Linear Algebra
November 2014
Lecturers: A Crisp, J Parkinson, B Roberts
Time Allowed: One and a half hours
Family Name: . . . . . . . . . . . .
The University of Sydney
School of Mathematics and Statistics
Solutions to Problem Sheet, Week 7
MATH1014: Introduction to Linear Algebra
Semester 2, 2016
Topics covered and aims
In lectures this week:
Applications and examples of systems of linear equat
The University of Sydney
School of Mathematics and Statistics
Solutions to Problem Sheet, Week 12
MATH1014: Introduction to Linear Algebra
Semester 2, 2016
Topics covered and aims
In lectures this week:
Eigenvalues and eigenvectors of 3 3 matrics.
Long
The University of Sydney
School of Mathematics and Statistics
Solutions to Problem Sheet, Week 5
MATH1014: Introduction to Linear Algebra
Semester 2, 2016
Note: The quiz is held in the tutorial this week, and so you should attempt these questions
in your
The University of Sydney
School of Mathematics and Statistics
Solutions to Problem Sheet, Week 1
MATH1014: Introduction to Linear Algebra
Semester 2, 2017
Topics covered and aims
In lectures this week:
Vectors in 2 and 3 dimensions.
Adding vectors, geom
The University of Sydney
School of Mathematics and Statistics
Tutorial for Week 1
MATH1014: Introduction to Linear Algebra
Semester 2, 2015
Tutorial Exercises
1. If P is the point (2, 1) in the Cartesian plane, and O is the origin (0, 0), draw the
vector
The University of Sydney
School of Mathematics and Statistics
Tutorial for Week 2
MATH1014: Introduction to Linear Algebra
Semester 2, 2015
Preparatory questions
(attempt before the tutorial)
1. Let P be the point (3, 1) and Q the point (4, 2) in the xy-p
The University of Sydney
School of Mathematics and Statistics
Tutorial for Week 3
MATH1014: Introduction to Linear Algebra
Semester 2, 2015
Preparatory questions
(attempt before the tutorial)
1.
(a) Find a vector parallel to each of the following straight
lOMoARcPSD
Exam 7 November 2010, questions and answers
Introduction to Linear Algebra (University of Sydney)
Distributing prohibited | Downloaded by Jie Gu ([email protected])
lOMoARcPSD
Distributing prohibited | Downloaded by Jie Gu ([email protected])
lOMoARcPSD
Exam 9 November 2013, questions and answers
Introduction to Linear Algebra (University of Sydney)
Distributing prohibited | Downloaded by Jie Gu ([email protected])
lOMoARcPSD
8009A Semester 2 2013
The University of Sydney
School of Mathematic
lOMoARcPSD
Exam 13 November 2014, questions and answers
Introduction to Linear Algebra (University of Sydney)
Distributing prohibited | Downloaded by Jie Gu ([email protected])
lOMoARcPSD
CC0678A Semester 2 2014
The University of Sydney
School of Mathema
The University of Sydney
School of Mathematics and Statistics
Solutions to Problem Sheet, Week 1
MATH1014: Introduction to Linear Algebra
Semester 2, 2016
Topics covered and aims
In lectures this week:
Vectors in 2 and 3 dimensions.
Adding vectors, geom
The University of Sydney
School of Mathematics and Statistics
Solutions to Problem Sheet, Week 8
MATH1014: Introduction to Linear Algebra
Semester 2, 2016
Topics covered and aims
In lectures this week:
Inverse of a matrix (formula for 2 2, and technique
CC0678A Semester 2 2015
The University of Sydney
School of Mathematics and Statistics
MATH1014
Introduction to Linear Algebra
November 2015
Lecturers: J Parkinson, B Roberts
Time Allowed: One and a half hours
Family Name: . . . . . . . . . . . . . . . . .