Sophie

Sophie

distrib > Fedora > 15 > i386 > by-pkgid > 7ebd25ac536d248d499a3ce2acda963a > files > 2682

Macaulay2-1.3.1-8.fc15.i686.rpm

-- -*- M2-comint -*- {* hash: 534925316 *}

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

o1 = | 1 2 |
     | 5 7 |

              2        2
o1 : Matrix ZZ  <--- ZZ

i2 : eigenvectors M

o2 = ({-.358899}, | -.827138 -.262266 |)
      {8.3589  }  | .561999  -.964996 |

o2 : Sequence

i3 : M = matrix {{1, 2}, {2, 1}}

o3 = | 1 2 |
     | 2 1 |

              2        2
o3 : Matrix ZZ  <--- ZZ

i4 : (e,v) = eigenvectors(M, Hermitian=>true)

o4 = ({-1}, | -.707107 .707107 |)
      {3 }  | .707107  .707107 |

o4 : Sequence

i5 : class \ e

o5 = {RR}
     {RR}

o5 : VerticalList

i6 : v

o6 = | -.707107 .707107 |
     | .707107  .707107 |

                2          2
o6 : Matrix RR    <--- RR
              53         53

i7 :