The Random function creates a new mod m Matrix or Vector of the specified type and dimensions, assigning to each entry a uniformly distributed random value in the range $0..m-1$.

A row Vector can be obtained by setting $\mathrm{nrow}=0$, and a column Vector by setting $\mathrm{ncol}=0$. If $0<\mathrm{nrow}$ and $0<\mathrm{ncol}$, a Matrix is produced. If $\mathrm{nrow}=0$ and $\mathrm{ncol}=0$, an error results.

The allowable datatypes are hardware integer (dtype=integer[4]/integer[8] or integer[]), hardware float (dtype=float[8]), or Maple integer (dtype=integer). If specified, order can be C_order or Fortran_order. If order is not specified, C_order is used.

This command is part of the LinearAlgebra[Modular] package, so it can be used in the form Random(..) only after executing the command with(LinearAlgebra[Modular]).  However, it can always be used in the form LinearAlgebra[Modular][Random](..).

$\mathrm{with}\left(\mathrm{LinearAlgebra}\left[\mathrm{Modular}\right]\right)\&colon;$

$\mathrm{A1}≔\mathrm{Random}\left(31\&comma;5\&comma;4\&comma;\mathrm{integer}\left[\right]\right)$

$\mathrm{A1}≔\left[\begin{array}{cccc}7& 9& 10& 8\\ 30& 24& 27& 11\\ 29& 5& 10& 21\\ 5& 16& 13& 22\\ 30& 23& 14& 20\end{array}\right]$

$\mathrm{A2}≔\mathrm{Random}\left(31\&comma;20\&comma;30\&comma;\mathrm{float}\left[8\right]\&comma;\mathrm{Fortran\_order}\right)$

$\mathrm{A2}≔\begin{array}{c}\left[\begin{array}{ccccccccccc}4.& 0.& 3.& 4.& 19.& 12.& 23.& 5.& 29.& 29.& \dots \\ 9.& 4.& 21.& 16.& 0.& 21.& 3.& 24.& 13.& 8.& \dots \\ 11.& 26.& 3.& 27.& 5.& 3.& 2.& 15.& 19.& 0.& \dots \\ 27.& 4.& 21.& 23.& 23.& 5.& 2.& 16.& 0.& 21.& \dots \\ 9.& 19.& 6.& 4.& 14.& 2.& 28.& 30.& 5.& 30.& \dots \\ 8.& 9.& 1.& 26.& 5.& 18.& 27.& 12.& 6.& 12.& \dots \\ 27.& 26.& 5.& 18.& 15.& 1.& 16.& 21.& 17.& 7.& \dots \\ 19.& 18.& 14.& 30.& 8.& 14.& 18.& 29.& 29.& 6.& \dots \\ 17.& 30.& 27.& 20.& 30.& 6.& 7.& 14.& 8.& 13.& \dots \\ 8.& 9.& 0.& 2.& 24.& 12.& 28.& 21.& 9.& 0.& \dots \\ ⋮& ⋮& ⋮& ⋮& ⋮& ⋮& ⋮& ⋮& ⋮& ⋮& \end{array}\right]\\ \hfill \text{20 × 30 Matrix}\end{array}$

$\mathrm{A2}\left[1..3,1..3\right]$

$\left[\begin{array}{ccc}4.& 0.& 3.\\ 9.& 4.& 21.\\ 11.& 26.& 3.\end{array}\right]$

$\mathrm{A3}≔\mathrm{Random}\left(31\&comma;3\&comma;0\&comma;\mathrm{integer}\left[\right]\right)$

$\mathrm{A3}≔\left[\begin{array}{c}28\\ 29\\ 22\end{array}\right]$

$\mathrm{whattype}\left(\mathrm{A3}\right)$

${\mathrm{Vector}}_{\mathrm{column}}$

$\mathrm{A4}≔\mathrm{Random}\left(31\&comma;0\&comma;5\&comma;\mathrm{float}\left[8\right]\right)$

$\mathrm{A4}≔\left[\begin{array}{ccccc}12.& 27.& 10.& 14.& 17.\end{array}\right]$

$\mathrm{whattype}\left(\mathrm{A4}\right)$

${\mathrm{Vector}}_{\mathrm{row}}$