Lectures related to Matrix Functions: Theory and Computation

Explores diagonalization conditions, bases by eigenvectors, and generalization of concepts.

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

Covers the diagonalization of symmetric matrices, the spectral theorem, and the use of spectral decomposition.

Explains how to find the polynomial of interpolation using the Vandermonde matrix.

Explores polynomial interpolation for curve fitting, error analysis, and the Runge's phenomenon.

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

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