Linear Algebra II — Lecture Notes (OLMA252)

Lecture notes co-written with the instructor of the OLMA252 module at Université Paris-Saclay, intended for the entire LDD2 cohort. The document covers Euclidean spaces, orthogonality and orthonormal bases, isometries and adjoints, determinants, and the reduction of endomorphisms (eigenvalues, characteristic polynomial, triangularization, Cayley-Hamilton theorem), with an appendix reviewing linear algebra 1 and corrected comprehension questions after each lecture. Contribution: proofreading and correction of the document.