mth3060305m9.mws

• Repeated Eigenvalues
  • The exponential of a matrix
  • Using the matrix exponential to solve planar systems
    • Example
  • What happens with repeated eigenvalues
  • Pictures of phase planes for planar systems with repeated eigenvalues
    • Example 1
    • Example 2
• Zero Eigenvalues
  • One zero, one non-zero eigenvalue
  • Two zero eigenvalues, not the zero matrix