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Conveniently Specify General Banded Matrices
Mathematica 6 introduces a convenient symbolic representation for arbitrary banded matrices.
In[1]:=

Click for copyable input
MatrixPlot[

 SparseArray[

  Table[Band[RandomInteger[{1, 100}, 2], Automatic, 

     RandomChoice[{1, -1}, 2]] -> RandomReal[{-10, 10}], {100}], {100,

    100}]]
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