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 |
matrices-ex4 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 |