Lectures related to Kronecker product

Normal Ordered Product And Wick Theorem

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

Matricizations and Alternating Least Squares

Covers matricizations, ALS method, and tensor decomposition, emphasizing the alignment of fibers in matrices.

Vectors in Space: Properties and Interpretations

Explores properties and interpretations of vectors in space, including mixed product and linear dependence.

Vector Calculus: 3D Orientation and Cross Product

Covers 3D orientation, cross product, and volume calculations using mixed product in vector calculus.

Matrix Operations: Product and Inverse

Covers matrix operations, focusing on the product and inverse of matrices.

Multivariate Statistics: Wishart and Hotelling T²

Explores the Wishart distribution, properties of Wishart matrices, and the Hotelling T² distribution, including the two-sample Hotelling T² statistic.

Matrix Operations: Composition and Product

Covers the composition and product of matrices, including matrix multiplication.

Jacobian Matrix and Change of Variables

Covers Jacobian matrix, composite function derivative, change of variables, and integral derivative.

Normal Ordered Product And Wick Theorem

Covers normal ordered product and Wick's theorem in quantum field theory.

Linear Algebra: Matrices and Operations

Introduces key concepts in linear algebra, including matrices, operations, and numerical invariants.

Quantum Field Theory II: Cross Section & Lifetime

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

Matrix Operations: LU Factorization & Subspace Vector

Covers LU factorization, determinants, subspaces, and matrix products.

Linear Algebra: Matrix Operations

Explores the equivalence between different properties of linear transformations represented by matrices and various matrix operations.

Analytical Geometry: Mixed Product and Determinant

Covers the analytical expression of the mixed product and its applications.

Matrix Operations: Linear Systems and Solutions

Explores matrix operations, linear systems, solutions, and the span of vectors in linear algebra.

Matrix Operations: Inverse and Reduction to Echelon Form

Covers matrix operations and reduction to echelon form with practical examples.

Determinants: Cofactors and Matrix Operations

Covers the definition of determinants using cofactors and matrix operations.

Linear Systems: Continuous Time

Covers linear systems in continuous time, stability analysis, and mass-spring system examples.

Matrix Multiplication: Basics and Properties

Covers the basics of matrix multiplication, including properties and examples.

Linear Algebra: Inverse Matrix and Systems Resolution

Covers the concept of inverse matrices and systems resolution, including the conditions for matrix invertibility and the Gauss-Jordan algorithm.