Noureddine, MIDOUNE2026-02-182025-05-26https://repository.univ-msila.dz/handle/123456789/48399This handout is based on years of teaching experience in the ALG4 module for second year university students. It is organized into three chapters, with the first two introducing symmetric bilinear forms, quadratic forms, and Hermitian forms, all illustrated with clear examples. The final chapter explores practical applications of these concepts. It is designed to be a helpful guide for both students learning the material and instructors teaching it, making the concepts easier to understand and apply.enLinear AlgebraSymmetric Bilinear FormsQuadratic FormsHermitian FormsMatrix ApplicationsPreprint