If I have a vector v, results of Av, Bv and A + B (where A and B are matrices), how can I find either A or B?

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I am given a $6$ x $1$ vector $v$, and the results of $Av$, $Bv$ and $A + B$ (here $A$ and $B$ are $6$ x $6$ matrices).

How can I find the value of matrix $A$ or $B$?