EDITH COWAN UNIVERSITY

FACULTY OF COMPUTING, HEALTH AND SCIENCE

SCHOOL OF ENGINEERING

MAT1163 LINEAR ALGEBRA

Unit Plan

Week1

Week2

Week3

Week4

Week5

Date

Topic

26-Jul Systems of linear equations

Row reduction and echelon forms

2-Aug Vector Equations

The matrix equation Ax=b

9-Aug Solution sets of linear systems

Applications of linear systems

Linear independence

16-Aug Introduction to linear transformations

The matrix of a linear transformation

23-Aug Matrix operations

The inverse of a matrix

Text

1.1

1.2

1.3

1.4

1.5

1.6

1.7

1.8

1.9

2.1

2.2, 2.3

2.8

30-Aug Subspaces of Rn

Dimension and Rank

2.9

Assignment 1 due 3 Sep 14.30

5.1

Week7

6-Sep Eigenvectors and eigenvalues

The characteristic equation

5.2

Diagonalisation

5.3

13-Sep No classes

20-Sep No classes

MIDSEMESTER BREAK

5.3

Week8

4-Oct Diagonalisation

Inner product, length and

orthogonality

6.1

6.2

Week9

11-Oct Orthogonal Sets

Orthogonal projections

6.3

6.4

Week10

18-Oct The Gram Schmidt Process

Least squares problems

6.5

Week11

25-Oct Diagonalisation of Symmetric

Matrices

7.1

Quadratic Forms

7.2

Assignment 2 due 29 Oct 14.30

Week12

1-Nov Revision

Note: This timetable is a guide only and some variation may occur

Week6

1

Practice Problems

2, 8, 16, 20, 26, 32

2, 8, 14, 20, 22, 30

2, 8, 14, 20, 24, 26, 32

2, 8, 14, 17, 19, 26, 30, 32

2, 8, 14, 20, 22, 26, 32, 38

3, 6, 13

2, 8, 14, 20, 26, 28, 32, 34, 36, 40

2, 4, 10, 22, 29, 30, 32

2, 14,19, 27

2, 8, 14, 16, 20, 22, 24, 26, 32

2, 8, 10, 12, 14, 18, 22, 24, 32, 39, 40

2, 8, 14, 20, 26, 32,22

2,6,10

2, 8, 14, 20, 22, 24, 26, 34

2, 8, 10, 14, 18, 22, 24, 27

2, 8, 14, 20, 22, 24, 28, 30

2, 8, 14, 20, 22, 24, 28, 30

2, 8, 14, 20, 22, 24, 28

2, 8, 10, 14, 18, 20, 24, 26, 28

2, 8, 14, 20, 22, 24

2, 8, 14, 18, 20, 24

2, 8, 14, 18, 26

2, 8, 14, 20

2, 4, 8, 20

Attendance Requirements

Every student enrolled in MAT1163 is expected to attend the lectures...