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Find the non singular matrices P and Q such that PAQ is in normal form.Also find rank of A. $ \\ \; \\ A=\left[ \begin{array}{ccc} 4 & 3 & 1 & 6\\ 2 & 4 & 2 & 2\\12 & 14 & 5 & 16\end{array} \right] $
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