Hi guys: Can any one please tell me what does this means? Thanks

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The second matrix is simply the symmetric version of the first.

This

1 2 3 4 5 6 7
1 0 2 3 x 2 4 x
2 2 3 11 2 3 5
3 3 9 2 3 5
4 3 9 3 5
5 9 3 4
6 8 4
7 8

is simply the running of Dijkstra's algorithm
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1st Matrix
1 2 3 4 5 6 7
1 x 2 3 x 2 4 x
2 x 2 9 x 1 3
3 x x 2 2 2
4 x 7 x 9
5 x 2 x
6 x 1
7 x

2nd Matrix
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1 2 3 4 5 6 7
1 x 2 3 x 2 4 x
2 2 x 2 9 x 1 3
3 3 2 x x 2 2 2
4 x 9 x x 7 x 4
5 2 x 2 7 x 2 x
6 4 1 2 x 2 x 1
7 x 3 2 4 x 1 x