Lectures related to Determinants: Alternate Forms and Symmetrization

Covers spherical coordinates and the determinant of Jacobi in linear algebra.

Introduces multilinear forms in linear algebra, emphasizing clarity and logic in presentation.

Covers operations on linear applications in R³, including definitions, behavior of compositions, and determinants.

Covers fundamental concepts in linear algebra, including linear equations, matrix operations, determinants, and vector spaces.

Explains the concept of inertia benchmark, focusing on main axes and diagonal elements of the inertia tensor.

Explores characteristic polynomials, similarity of matrices, and eigenvalues in linear transformations.

Covers the Orbit-Stabilizer theorem, conjugacy classes, and direct products in finite groups.

Covers proper actions of groups on Riemann surfaces and introduces algebraic curves via square roots.