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# The two matrices are both left-invertible, and have multiple left inverses. Do they have a common left inverse?

The two matrices are both left-invertible, and have multiple left inverses. Do they have a common left inverse? Explain how to find a 2 × 4 matrix C that satisfies CA = CB = I, or determine that no such matrix exists. Hint. Set up a set of linear equations for the entries of C.