low rank matrix

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if $$ M_{2\times 2} = \pmatrix{1&5\\2&?}. $$ If rank 1, $M_i = a_{ij} M_j$ and rank 2, $M_i=a_{ij} M_j+ a_{ik}M_k$, what is the explanation? I could not understand it. Please help. Thank you. could help to provide the example.