The matrix \({\rm{A}} = \left[ {\begin{array}{*{20}{c}} {\rm{a}}&0&3&7\\ 2&5&1&3\\ 0&0&2&4\\ 0&0&0&{\rm{b}} \end{array}} \right]\) has \(\rm det(A) = 100\) and \(\rm trace(A) = 14\).

The value of \(\rm |a-b|\) is ________.

Enter numerical value using the virtual keypad. Round off where necessary.

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