eigenvalues -- find eigenvalues of a matrix

• Usage:

  eigenvalues M

• Inputs:
  • M, a matrix, or a MutableMatrix over RR or CC, which is a square n by n matrix
• Optional inputs:
  • Hermitian => ..., default value false, whether to assume the matrix is symmetric or Hermitian
• Outputs:
  • a vertical list, a list of the eigenvalues of M

i1 : M = matrix {{1,2}, {5,7}}

o1 = | 1 2 |
     | 5 7 |

              2       2
o1 : Matrix ZZ  <-- ZZ

i2 : eigenvalues M

o2 = {-.358899}
     {8.3589  }

o2 : VerticalList

i3 : class \ oo

o3 = {CC}
     {CC}

o3 : VerticalList

i4 : M = matrix {{1,2}, {2,1}}

o4 = | 1 2 |
     | 2 1 |

              2       2
o4 : Matrix ZZ  <-- ZZ

i5 : eigenvalues(M, Hermitian=>true)

o5 = {-1}
     {3 }

o5 : VerticalList

i6 : class \ oo

o6 = {RR}
     {RR}

o6 : VerticalList