If B is matrix and A is a matrix, then mrdivide(A,B) computes X, where X is the transpose of mldivide(Bt,At) and At (resp. Bt) is the transpose of A (resp. B).

Maple normally treats arrays and vectors as distinct from matrices, in some cases not permitting a matrix operation when the given argument is not specifically declared as a matrix.  This function implicitly extends arrays and vectors to 2 dimensions.  Notably, n-element column vectors are treated as n x 1 matrices.  Also, n-element row vectors and 1-D arrays are treated as 1 x n matrices.

If A is a scalar, then mrdivide(A,B) is computed as if A is a 1 x 1 matrix.

If B is a scalar, then mrdivide(A,B) computes rdivide(A,B).

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

$A≔\mathrm{Vector}\left[\mathrm{row}\right]\left(\left[8\,32\,21\right]\right)$

$A≔\left[\begin{array}{ccc}8& 32& 21\end{array}\right]$

$B≔\mathrm{Matrix}\left(\left[\left[1\,4\,2\right]\,\left[2\,5\,8\right]\,\left[1\,6\,1\right]\right]\right)$

$B≔\left[\begin{array}{ccc}1& 4& 2\\ 2& 5& 8\\ 1& 6& 1\end{array}\right]$

$\mathrm{mrdivide}\left(A\,B\right)$

$\left[\begin{array}{ccc}1& 2& 3\end{array}\right]$

$A≔\mathrm{Matrix}\left(\left[\left[8\,32\,21\right]\,\left[20\,77\,54\right]\,\left[32\,122\,87\right]\right]\right)$

$A≔\left[\begin{array}{ccc}8& 32& 21\\ 20& 77& 54\\ 32& 122& 87\end{array}\right]$

$B≔\mathrm{Matrix}\left(\left[\left[1\,4\,2\right]\,\left[2\,5\,8\right]\,\left[1\,6\,1\right]\right]\right)$

$B≔\left[\begin{array}{ccc}1& 4& 2\\ 2& 5& 8\\ 1& 6& 1\end{array}\right]$

$\mathrm{mrdivide}\left(A\,B\right)$

$\left[\begin{array}{ccc}1& 2& 3\\ 4& 5& 6\\ 7& 8& 9\end{array}\right]$

$A≔\mathrm{Vector}\left[\mathrm{row}\right]\left(\left[8\,32\right]\right)$

$A≔\left[\begin{array}{cc}8& 32\end{array}\right]$

$B≔\mathrm{Matrix}\left(\left[\left[1\,4\right]\,\left[2\,5\right]\,\left[1\,6\right]\right]\right)$

$B≔\left[\begin{array}{cc}1& 4\\ 2& 5\\ 1& 6\end{array}\right]$

$\mathrm{mrdivide}\left(A\,B\right)$

$\left[\begin{array}{ccc}\frac{52}{31}& \frac{56}{31}& \frac{84}{31}\end{array}\right]$

$A≔\mathrm{Matrix}\left(\left[\left[8\,32\right]\,\left[20\,77\right]\,\left[32\,122\right]\right]\right)$

$A≔\left[\begin{array}{cc}8& 32\\ 20& 77\\ 32& 122\end{array}\right]$

$B≔\mathrm{Matrix}\left(\left[\left[1\,4\right]\,\left[2\,5\right]\,\left[1\,6\right]\right]\right)$

$B≔\left[\begin{array}{cc}1& 4\\ 2& 5\\ 1& 6\end{array}\right]$

$\mathrm{mrdivide}\left(A\,B\right)$

$\left[\begin{array}{ccc}\frac{52}{31}& \frac{56}{31}& \frac{84}{31}\\ 4& 5& 6\\ \frac{196}{31}& \frac{254}{31}& \frac{288}{31}\end{array}\right]$