Division of polynomial matrices

asked 2013-08-15 08:03:25 -0500

koukourikos gravatar image

Is it possible to perform euclidean division between two polynomial matrices in sage? e.g.if $A= \begin{bmatrix} x^2 +1 & x \newline 0&x-1 \end{bmatrix} , B=\begin{bmatrix} x & 2 \newline 1 &x-1 \end{bmatrix}$

are given find the matrices $Q,R$ so $A=QB +R$

in this example the answer is $Q= \begin{bmatrix} x & -1 \newline 0& 1 \end{bmatrix} , R=\begin{bmatrix} 2 & -1 \newline -1 & 0 \end{bmatrix}$

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