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Solving for unknown 3x3 matrix

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3 2 $begingroup$ Given the following I am trying to solve for $A$ : $$ v_1 = A v_2$$ where $v_1$ is a known $3times 2$ matrix, $A$ is an unknown $3times 3$ matrix and $v_2$ is a known $3times 2$ matrix Additionally: $A^{-1} v_1 = v_2$ I am not quite sure how to proceed—is there a way to get a solution for A since all of the given vectors are non square? Any leads would be appreciated! linear-algebra matrices matrix-equations share | cite | improve this question edited 2 hours ago El Pasta 496 15 asked 4 hours ag...