The leading entries

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What is the sum of all the leading entries in the rows of the matrix F?

F4,4=(6003100100000210)F_{4,4}=\begin{pmatrix} 6 & 0 & 0 & 3 \\ 1 & 0 & 0 & 1 \\ 0 & 0 & 0 & 0 \\ 0 & -2 & -1 & 0 \end{pmatrix}

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