Lectures related to StateSpace ControlCanonical: Canonical Forms

Explores properties of 3x3 matrices with real coefficients and determinant calculation methods.

Explores base changes, bijective linear applications, matrix transformations, and dimensions of kernel and image spaces.

Covers the reduction of matrices without real eigenvalues and practical examples of matrix transformations.

Covers the Hermite Normal Form, a method to transform a matrix into a specific form.

Explores the motivation behind change of basis in linear algebra, emphasizing the importance of selecting the right basis.

Covers the concepts of kernel and image of a linear transformation and their relationship with the rank of the matrix.

Explores the Jacobi method and diagonalization techniques, including similarity transformation, power methods, and QR decomposition.