Lectures related to Canonical Analysis: Quadratic Geometry

Explains the diagonalization of linear transformations using eigenvectors and eigenvalues to form a diagonal matrix.

Covers advanced physics topics such as definitions, rectilinear motion, vectors, and motion in three dimensions.

Explores glide reflection in analytical geometry, emphasizing fixed points and reflection matrices.

Explores indicial notation, vectors, and the transformation law in the context of mass flux density.

Explains eigenvalues and eigenvectors, focusing on real solutions and their properties.

Explores the numerical analysis of nonlinear equations, focusing on convergence criteria and methods like bisection and fixed-point iteration.

Explores the effect of rounding errors in solving linear systems using the LU factorization method.

Explores linear dependence and independence of vectors in geometric spaces.