11. LU Decomposition
1 to be the matrix obtained by zeroing out the rst column of M. Then U 1 = 0 B @ 6 18 3 0 6 0 0 3 1 1 C A. 3. Now repeat the process by zeroing the second column of U 1 below the diagonal using the second row of U 1, and putting the corresponding entries into L 1. The resulting matrices are L 2 and U 2. For our example, L 2 = 0 B @ 1 0 0 1 3 1 ...
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