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Subsection 9.1.2 Overview

  • 9.1 Opening

    • 9.1.1 Relating diagonalization to eigenvalues and eigenvectors

    • 9.1.2 Overview

    • 9.1.3 What you will learn

  • 9.2 Basics

    • 9.2.1 Singular matrices and the eigenvalue problem

    • 9.2.2 The characteristic polynomial

    • 9.2.3 More properties of eigenvalues and vectors

    • 9.2.4 The Schur and spectral decompositions

    • 9.2.5 Diagonalizing a matrix

    • 9.2.6 Jordan Canonical Form

  • 9.3 The Power Method and related approaches

    • 9.3.1 The Power Method

    • 9.3.2 The Power Method: Convergence

    • 9.3.3 The Inverse Power Method

    • 9.3.4 The Rayleigh Quotient Iteration

    • 9.3.5 Discussion

  • 9.4 Enrichments

  • 9.5 Wrap Up

    • 9.5.1 Additional homework

    • 9.5.2 Summary