Calculator for $Ax=b$ where $A$ is singular

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I have found many online calculators that can calculate $Ax=b$ only when $A$ isn't singular. However in most of my exercises, $A$ is singular and I want to ensure that I have found the right solution. So is there any free tool that can give a relationship for the infinite solutions(and the conditions for $b$) with $b$ being unknown? Example

A = \begin{bmatrix}1&2&3\\2&4&6\\2&5&7\\3&9&12\end{bmatrix}b = \begin{bmatrix}b1\\b2\\b3\\b4\end{bmatrix}Solve Ax=b

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