test case 2 is underconstrained (either of the two zeros could be changed) and test case 3 doesn't account for increased precision.
hmm, sorry man. This was just for fun so people might get interested in markov chains, so I didn't think too hard about the test cases :)
perhaps it's been changed already, test 2 does not look underconstrained (one additional constrain of mc is that its columns should add up to 1)
In fact tests 2 and 3 are 'overconstrained' (you do not need the 'states' information to solve these)
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