Lectures related to Bilinear Forms

Explores Lagrange interpolation, emphasizing uniqueness and simplicity in reconstructing functions from limited values.

Covers Lie Algebra, focusing on vector space and multiplication law.

Covers orthogonality, scalar products, orthogonal bases, and vector projection in detail.

Introduces orthogonality between vectors, angles, and orthogonal complement properties in vector spaces.

Explains orthogonal projection and vector decomposition with examples in particle trajectory analysis.

Explores polynomial operations, properties, and subspaces in vector spaces.

Explores symmetrical bilinear forms, the Pythagorean theorem, inequalities, and orthogonal matrices.