5.3 Diagonalization

Section 5.3 Slides

Topics covered

  • Define diagonal matrix
  • Using factorization A=PDP-1 compute Ak
  • Definition of diagonalizable and Diagonalization Theorem
  • Several examples diagonalizing a matrix
  • Determine when a matrix A is diagonalizable. Revisit defintion of algebraic and geometric multiplicity of eigenvalues.