General question regarding the Inv. Matrix Thm:(adsbygoogle = window.adsbygoogle || []).push({});

One part of the theorem states that for an nxn invertible matrix, then there exists at least one solution for each b in Ax=b. Why wouldn't it be "there exists at MOST one solution for each b" since every column/row has a pivot. How would there exist more than one solution for each b if the columns span R_n?

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# Homework Help: Invertible Matrix Theorem

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