Important: The linalg package has been deprecated. Use the superseding packages, LinearAlgebra and VectorCalculus, instead.

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

The call blockmatrix(m, n, [B11,..., B1n,..., Bm1,..., Bmn]) creates an m by n block matrix which is filled in using row major order.

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

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

$A≔\mathrm{matrix}\left(3\,3\,\left(i\,j\right)\mapsto \mathrm{abs}\left(i-j\right)\right)$

$A≔\left[\begin{array}{ccc}0& 1& 2\\ 1& 0& 1\\ 2& 1& 0\end{array}\right]$

$B≔\mathrm{matrix}\left(3\,3\,\left(i\,j\right)\mapsto {\mathrm{abs}\left(i-j\right)}^2\right)$

$B≔\left[\begin{array}{ccc}0& 1& 4\\ 1& 0& 1\\ 4& 1& 0\end{array}\right]$

$Z≔\mathrm{matrix}\left(3\,3\,0\right)$

$Z≔\left[\begin{array}{ccc}0& 0& 0\\ 0& 0& 0\\ 0& 0& 0\end{array}\right]$

$\mathrm{blockmatrix}\left(2\,4\,\left[A\,B\,Z\,A\,B\,Z\,A\,B\right]\right)$

$\left[\begin{array}{cccccccccccc}0& 1& 2& 0& 1& 4& 0& 0& 0& 0& 1& 2\\ 1& 0& 1& 1& 0& 1& 0& 0& 0& 1& 0& 1\\ 2& 1& 0& 4& 1& 0& 0& 0& 0& 2& 1& 0\\ 0& 1& 4& 0& 0& 0& 0& 1& 2& 0& 1& 4\\ 1& 0& 1& 0& 0& 0& 1& 0& 1& 1& 0& 1\\ 4& 1& 0& 0& 0& 0& 2& 1& 0& 4& 1& 0\end{array}\right]$