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
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 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 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
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
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
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: . . . . . . . . . . . . . . . . .