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Suppose B= (6231)\left( \begin{array} { l l } 6 & 2 \\3 & 1\end{array} \right)

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Suppose B= (6231)\left( \begin{array} { l l } 6 & 2 \\3 & 1\end{array} \right) and C= (2106)\left( \begin{array} { l l } 2 & 1 \\0 & 6\end{array} \right) . Find a matrix A such that AB=C or prove that no such matrix exists.

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None exist...

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