Lectures related to Matrix Calculations: Basis Change and Extensions

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

Covers the basics of linear algebra, including linear maps, bases, and matrix operations.

Covers linear algebra basics, including matrices, change of basis, and invertible matrices.

Explores decomposition groups, inertia subgroups, Galois theory, unramified primes, and cyclotomic fields in group actions and field extensions.