CS575 homework III:  LU Decomposition
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1.  Apply the LU decomposition algorithm from the lecture to

          2   3   4   5 
          
          4   9  10  11
     A =
          6  24  26  23

          8  30  56  52

    and show the resulting 2D array (without the implicit diagonal
    1-s and off diagonal 0-s).

2.  What are the resulting L and U matrices?

3.  Verify by matrix multiplication that your LU decomposition
    is correct.