The Create function creates a new mod m Matrix or Vector of the specified type and dimensions.

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 not specified, C_order is used.

By default, after creating the requested Matrix or Vector, the entries of the table are initialized to zero. Alternatively, if a fill value, fillv, is provided, it is used to initialize the table after creation.

Two special fill types are supported:

identity: For this fill type, the object must be a square Matrix, that is, nrow=ncol. The identity matrix of the specified type and dimension is returned.

random: This indicates the returned object should be filled with random values in the range $0..m-1$.

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

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

$\mathrm{A1}≔\mathrm{Create}\left(31\&comma;20\&comma;30\&comma;\mathrm{integer}\left[\right]\right)$

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

$\mathrm{A3}≔\mathrm{Create}\left(31\&comma;3\&comma;0\&comma;2\&comma;\mathrm{integer}\left[\right]\right)$

$\mathrm{A3}≔\left[\begin{array}{c}2\\ 2\\ 2\end{array}\right]$

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

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

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

$\mathrm{A4}≔\left[\begin{array}{ccccc}0.& 0.& 0.& 0.& 0.\end{array}\right]$

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

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

$\mathrm{Create}\left(13\&comma;4\&comma;4\&comma;\mathrm{identity}\&comma;\mathrm{integer}\right)$

$\left[\begin{array}{cccc}1& 0& 0& 0\\ 0& 1& 0& 0\\ 0& 0& 1& 0\\ 0& 0& 0& 1\end{array}\right]$

$\mathrm{Create}\left(411\&comma;7\&comma;3\&comma;\mathrm{random}\&comma;\mathrm{float}\left[8\right]\right)$

$\left[\begin{array}{ccc}88.& 298.& 262.\\ 322.& 75.& 277.\\ 149.& 261.& 228.\\ 370.& 134.& 305.\\ 65.& 94.& 3.\\ 260.& 405.& 288.\\ 196.& 118.& 68.\end{array}\right]$