Question

What is the rank r of the matrix \left(\begin{array}{ccccc}

3 & -12 & 7 & -7 & 12 \\

-24 & 0 & 8 & -8 & 0 \\

-34 & 5 & 8 & -8 & -5 \\

21 & -6 & -3 & 3 & 6 \\

-18 & 0 & 6 & -6 & 0

\end{array}\right) ?

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