Teaching schedule

The teaching schedule for linear algebra is given below.

Week	Date( w/c)	Lecture	Tutorial
1	02/10/2023	Matrices: definition, indexing a matrix, basic arithmetic operations, matrix multiplication	Exercise 1.1 to Exercise 1.3
2	09/10/2023	Matrices (cont.): determinants, inverse matrix, matrix algebra	Exercise 1.4 to Exercise 1.7
3	16/10/2023	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	23/10/2023	Systems of linear equations (cont.): Gaussian elimination and partial pivoting	Exercise 2.3 and Exercise 2.4
5	30/10/2023	Systems of linear equations (cont.): Gauss-Jordan elimination, consistent, inconsistent and indeterminate systems, homogeneous systems	Exercise 2.5 to Exercise 2.7
6	06/11/2023	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	13/11/2023	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	20/11/2023	Vector Spaces: definitions, subspaces, linear dependence, basis of a vector space	Exercise 5.1 to Exercise 5.6
9	27/11/2023	Linear Transformations: definition, transformation matrices, composite linear transformations	Exercise 6.1 to Exercise 6.4
10	04/12/2023	Linear Transformations (cont.): rotation, reflection, scaling and translation transformations	Exercise 6.5 to Exercise 6.7
11	11/12/2023	Exam preparation