RANDOM_MATRIX _ _ _ _ _ _ _ _ _ _ _ _ operator

syntax:

<r>,<c>,<limit> :- positive integers.

random_matrixcreates an <r> by <c> matrix with random entries in the range -limit <entry <limit.

Switches:

imaginary:- if on then matrix entries are x+i*y where -limit <x,y <<limit>.

not_negative:- if on then 0 <entry <<limit>. In the imagina ry case we have 0 <x,y <<limit>.

only_integer:- if on then each entry is an integer. In the imaginary case x and y are integers.

symmetric:- if on then the matrix is symmetric.

upper_matrix:- if on then the matrix is upper triangular.

lower_matrix:- if on then the matrix is lower triangular.

examples:

on rounded; 

random_matrix(3,3,10); 

  [ - 8.11911717343    - 5.71677292768   0.620580830035 ]
  [                                                     ]
  [ - 0.032596262422    7.1655452861     5.86742633837  ]
  [                                                     ]
  [ - 9.37155438255    - 7.55636708637   - 8.88618627557]



on only_integer, not_negative, upper_matrix, imaginary; 

random_matrix(4,4,10); 

  [70*i + 15  28*i + 8   2*i + 79   27*i + 44]
  [                                          ]
  [    0      46*i + 95  9*i + 63   95*i + 50]
  [                                          ]
  [    0          0      31*i + 75  14*i + 65]
  [                                          ]
  [    0          0          0      5*i + 52 ]