Semester 2

This module provides a rigorous introduction to the theory and applications of linear algebra, a fundamental pillar of modern mathematics. The course transitions from computational techniques involving matrices and systems of linear equations to the abstract study of vector spaces and linear transformations. Students will explore the structural properties of mathematical systems, developing the ability to move between geometric intuition and algebraic formalism. Key topics include determinants, eigenvalues and eigenvectors, orthogonality, and the diagonalization of matrices.