Online calculator for linear algebra complete solution to a system of linear equations

Question

Looking for an online calculator that can provide the complete solution to a system of linear equations $Ax= b$ (given matrix $A_{m\times n}$ and $b\in \mathbb R^m$) as a self-study resource for my linear algebra students. For example where one could input the augmented matrix $$\verb+input: +\left[A\,|\,b\right] = \left[\begin{array}{ccccc|c} 2&4&3&7&-1&-7\\ {1}&2&2&5&3&6\\ -3&-6&-1&0&1&2 \end{array}\right] $$ then receive the RREF form after elimination such as $$\verb+output: +\left[R\,|\,d\right] = \left[\begin{array}{ccccc|c} \fbox{1}&2&0&-1&0&1\\ 0&0&\fbox{1}&3&0&-2\\ 0&0&0&0&\fbox{1}&3 \end{array}\right] $$ and finally the complete solution as the particular solution plus any linear combination of the special solutions (i.e. $N(A)$) as $\newcommand{bm}[1]{\begin{bmatrix}#1\end{bmatrix}}$ $$\verb+output: +x\ = \ \bm{1\\0\\-2\\0\\3} + c_1\bm{-2\\1\\0\\0\\0} + c_2\bm{1\\0\\-3\\1\\0}, \quad (c_1,c_2 \in \mathbb R). $$ The online calculators I found can only fulfill some of these functions, for example the RREF calculator or the special solutions calculator but I am yet to find one for the complete solution. If the calculator could show the elimination process with the row operations that would be nice too.