Media Summary: Eigenvalues and Eigenvectors continued - The Diagonalization theorem. Eigenvalues and Eigenvectors - The diagonalization theorem. Complex eigenvalues/eigenvectors, inner products, orthogonality.
Math 461 Lecture 23 - Detailed Analysis & Overview
Eigenvalues and Eigenvectors continued - The Diagonalization theorem. Eigenvalues and Eigenvectors - The diagonalization theorem. Complex eigenvalues/eigenvectors, inner products, orthogonality. Eigenvalues and Eigenvectors: the characteristic polynomial. Symmetric matrices, The Spectral Theorem, spectral decomposition. More RREF, applications to vector equations.
More applications of Separation of Variables. Introduction to Algebra and Number Theory – Matrix multiplication, transpose of a matrix, inverse of a matrix.