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$A =\begin{pmatrix} 1& 2& 1& 0\\ -1 &0 &3 &5\\ 1& -2& 1& 1\end{pmatrix}$.
I should find a row-reduced echelon matrix $R$ which is row equivalent to $A$ and an invertible $3 \times 3$ matrix $P$ such that $R = PA$.

I know that if a matrix is row equivalent to another that means that we can obtain such a matrix by using elementary row operations. But how should i apply this to such question?

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    Pambos thank you for editing ;))2012-11-23
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    The usual name for the process you need is _Gaussian elimination_. Chances are good that your textbook will have a longish explanation of it.2012-11-23
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    I know how I can use Gaussian elimination but how can I associate Gaussian elimination for finding P?2012-11-23

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