Jordan Normal Form: Part 1

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Page 3 of 3

Covers the exponential of operators and matrices, commutation properties, Jordan normal form, and linear algebra concepts related to linear operators and eigenvalue problems.

Canonical Correlation Analysis: Overview

Covers Canonical Correlation Analysis, a method to find relationships between two sets of variables.

Diagonalization of Matrices: Theory and Examples

Covers the theory and examples of diagonalizing matrices, focusing on eigenvalues, eigenvectors, and linear independence.

Eigenvalues and Symmetric Matrices

Explains eigenvalues and eigenvectors of symmetric matrices and their properties.

Eigenvalues and Eigenvectors

Explores eigenvalues, eigenvectors, and methods for solving linear systems with a focus on rounding errors and preconditioning matrices.

Diagonalization of Linear Maps

Explores the diagonalization of linear maps by finding a basis formed by eigenvectors.

Singular Value Decomposition

Covers the Singular Value Decomposition theorem and its application in decomposing matrices.

Decomposition of Linear Operators

Covers the decomposition of linear operators and properties of eigenspaces.

Jordan decomposition

Explores the unique decomposition of matrices into diagonalizable and nilpotent parts, showcasing their properties and applications.