I got a badly conditioned matrix

A = [0.0031 1 0 0 0 0 0 0
0 0.0031 1 0 0 0 0 0
0 0 0.0031 1 0 0 0 0
0 0 0 0.0031 1 0 0 0
0 0 0 0 0.0031 1 0 0
0 0 0 0 0 0.0031 1 0
0 0 0 0 0 0 0.0031 1
0 0 0 0 0 0 0 0.0031];

Matlab says that its numeric rank is 7.

The interesting thing is that A is a Jordan block!

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