To clarify, the two matrices might look like this:

  A B C D E F
A  1 2 3 4 5 6
B  2 4 6 8 10 12
C  0 0 0 0 0 0
D  0 1 0 1 0 1
E  3 6 9 11 13 15
F  2 2 2 2 2 2

  B D E
B  4 9 13
D  9 8 7
E  1 0 1

I would like this:

  A B C D E F
A  1 2 3 4  5  6
B  2 8 6 17 23 12
C  0 0 0 0 0 0
D  0 10 0 9 7 1
E  3 7 9 11 14 15
F  2 2 2 2 2 2

Thanks.
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