Important: The linalg package has been deprecated. Use the superseding command, LinearAlgebra[Matrix], instead.

- For information on migrating linalg code to the new packages, see examples/LinearAlgebraMigration.

The matrix function is part of the linalg package. It provides a simplified syntax for creating matrices. A general description of matrices in Maple is available under the heading matrix.

The call matrix(m, n, L) creates an m by n matrix where the first row of the matrix is defined by the list/vector L[1], the second row by L[2], and so forth. The call matrix(L) is equivalent to matrix(m, n, L) where $m=\mathrm{nops}\left(L\right)$ and $n=\max \left(\mathrm{seq}\left(\mathrm{nops}\left(L_i\right)\,i=1..m\right)\right)$ .

The call matrix(m, n) creates an m by n matrix with unspecified elements.

The call matrix(m, n, f) creates an m by n matrix whose elements are the result of the function f (possibly a constant) acting on the row and column index of the matrix.  Thus, matrix(m, n, f) is equivalent to matrix([[f(1, 1), ..., f(1, n)], ..., [f(m, 1), ..., f(m, n)]]) .

The call matrix(m, n, lv) creates an m by n matrix whose elements are read off from lv row by row, where lv is a list or vector of elements of type algebraic.

Since matrices are represented as two-dimensional arrays, see array for further details about how to work with matrices.

The command with(linalg,matrix) allows the use of the abbreviated form of this command.

Note:  The online documentation in Maple uses the convention that matrix (lowercase "m") refers to an array-based matrix used by routines in the linalg package, and Matrix (uppercase "M") refers to an rtable-based Matrix used by routines in the LinearAlgebra package. See LA_general for more information about linear algebra computations in Maple.

$\mathrm{with}\left(\mathrm{linalg}\right)\:$

$\mathrm{matrix}\left(2\,2\,\left[5\,4\,6\,3\right]\right)$

$\left[\begin{array}{cc}5& 4\\ 6& 3\end{array}\right]$

$\mathrm{matrix}\left(\left[\left[5\,4\right]\,\left[6\,3\right]\right]\right)$

$\left[\begin{array}{cc}5& 4\\ 6& 3\end{array}\right]$

$\mathrm{matrix}\left(2\,2\,0\right)$

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

$f≔\left(i\,j\right)\mapsto x^{i+j-1}\:$

$A≔\mathrm{matrix}\left(2\,2\,f\right)$

$A≔\left[\begin{array}{cc}x& x^2\\ x^2& x^3\end{array}\right]$

$\mathrm{map}\left(\mathrm{diff}\,A\,x\right)$

$\left[\begin{array}{cc}1& 2x\\ 2x& 3x^2\end{array}\right]$

$A≔\mathrm{matrix}\left(2\,2\,\left[x\,y\right]\right)$

$A≔\left[\begin{array}{cc}x& y\\ {\mathrm{`?`}}_{2,1}& {\mathrm{`?`}}_{2,2}\end{array}\right]$

$\mathrm{matrix}\left(\left[\mathrm{col}\left(A\,1..2\right)\right]\right)$

$\left[\begin{array}{cc}x& A_{2,1}\\ y& A_{2,2}\end{array}\right]$