Teaching schedule#

The teaching schedule for linear algebra is given in Table 1.

Table 1 2024/25 Teaching Schedule#

Week

Date (w/c)

Lecture

Tutorial

1

30/09/2024

Matrices: definition, indexing a matrix, basic arithmetic operations, matrix multiplication

Exercise 1.1 to Exercise 1.4

2

07/10/2024

Matrices (cont.): determinants, inverse matrix, matrix algebra

Exercise 1.5 to Exercise 1.12

3

14/10/2024

Systems of linear equations: definition, solutions of systems of linear equations using the inverse matrix and Cramer’s rule

Exercise 2.1 and Exercise 2.2

4

21/10/2024

Systems of linear equations (cont.): Gaussian elimination and partial pivoting

Exercise 2.3 and Exercise 2.4

5

28/10/2024

Systems of linear equations (cont.): Gauss-Jordan elimination, consistent, inconsistent and indeterminate systems, homogeneous systems

Exercise 2.5 to Exercise 2.7

6

04/11/2024

Vectors: Euclidean space, definition of a vector, arithmetic operations on vectors, vector magnitude, the dot product, the cross product, linear combinations of vectors

Exercise 3.1 to Exercise 3.4

7

11/11/2024

Co-ordinate Geometry: points, lines and planes, vector equations of lines and planes, the point-normal equation of a plane, shortest distance problems

Exercise 4.1 to Exercise 4.7

8

18/11/2024

Vector Spaces: definitions, subspaces, linear dependence, basis of a vector space

Exercise 5.1 to Exercise 5.6

9

25/11/2024

Linear Transformations: definition, transformation matrices, composite linear transformations

Exercise 6.1 to Exercise 6.4

10

02/12/2024

Linear Transformations (cont.): rotation, reflection, scaling and translation transformations | Exercise 6.5 to Exercise 6.7

Exam preparation