Lectures related to Normal matrix

Feynman Rules I: Asymptotic Statistic and Instantons

Covers the Feynman Rules, Asymptotic Statistics, Normal Ordering, and Instantons.

Covers normal ordered product, Wick's theorem, creation and destruction fields, and efficient computation methodology.

Quantum Field Theory II: Cross Section & Lifetime

Covers cross section, lifetime, quantum fluid, asymptotic states, discrete symmetries, and normal ordering in quantum field theory.

Diagonalization of Matrices

Explains the diagonalization of matrices, criteria, and significance of distinct eigenvalues.

Diagonalization of Linear Transformations

Covers the diagonalization of linear transformations in R^3, exploring properties and examples.

Symmetric Matrices and Eigenvectors

Covers the concept of symmetric matrices, orthogonal bases, and eigenvectors.

Diagonalization of Matrices

Explores the diagonalization of matrices through eigenvalues and eigenvectors, emphasizing the importance of bases and subspaces.

Non-Diagonalizable Cases: Two Eigenvalues (Theory)

Covers the reduction of non-diagonalizable matrices and their geometric interpretations.

Diagonalizable Matrices: Properties and Examples

Explores the properties and examples of diagonalizable matrices, emphasizing the relationship between eigenvectors and eigenvalues.

Linear Algebra: Reduction of Linear Application

Covers the reduction of a linear application and finding corresponding reduced forms and bases.

Diagonalizable Matrices

Covers the process of determining if a matrix is diagonalizable.

Diagonalizable Matrices: Properties and Determinants

Explains the properties and determinants of diagonalizable matrices in linear algebra.

Linear applications and eigenvalues

Covers the representation of linear applications through matrices, diagonalizable matrices, bases, dot product, orthogonality, and orthogonal vectors.

Diagonalizable Matrices: Properties and Bases

Covers properties of diagonalizable matrices, invertibility, and basis of eigenspaces.

Diagonalizable Matrices: Eigenvectors and Power Iteration

Explores diagonalizable matrices, eigenvectors, and power iteration methods for dominant eigenvectors.

Linear Algebra: Canonical Basis

Explores the canonical basis in linear algebra, focusing on matrix representation, diagonalizability, and characteristic polynomials.

Diagonalizable Matrices: Properties and Eigenvalues

Explores the properties of diagonalizable matrices and their eigenvalues for different parameters.

Symmetric Matrices: Diagonalizability and Eigenvectors

Explores the diagonalizability of symmetric matrices and their eigenvectors in an orthonormal basis.

Local Inversion Theorem

Explores the Local Inversion Theorem, highlighting conditions for local diffeomorphism and unique solutions in differentiable functions.

Dynamics on Homogeneous Spaces and Interactions with Number Theory

Explores dynamics on homogeneous spaces and their interactions with number theory, focusing on modular lattices and the Iwasawa decomposition theorem.