Maple дает тот же результат
Код:
with(linalg):A:=matrix(2,2,[1,-9,1,-5]):X:=matrix(2,2,[x[1],x[2],x[3],x[4]]):S:=matadd(matadd(multiply(X,X),X,1,-3),A,1,-1):SS:=[solve({S[1,1],S[1,2],S[2,1],S[2,2]})]:
> subs(SS[1],evalm(X)),subs(SS[2],evalm(X));
Получаем
![$$
\left[ \begin {array}{cc} 5&-9\\\noalign{\medskip}1&-1\end {array} \right], \left[ \begin {array}{cc} -2&9\\\noalign{\medskip}-1&4\end {array} \right]
$$ $$
\left[ \begin {array}{cc} 5&-9\\\noalign{\medskip}1&-1\end {array} \right], \left[ \begin {array}{cc} -2&9\\\noalign{\medskip}-1&4\end {array} \right]
$$](https://dxdy-01.korotkov.co.uk/f/4/e/3/4e383284fa6aa7f1a9b3e0051435816682.png)