i got c)
i put this in the calculator:
[.6 , .1 , .1; .2 , .8 , .3; .2 , .1 , .6]*[300; 200; 100]
which gives you [210; 250; 140]
total change: (300-210)+(250-200)+(140-100) = 180 = C
This is how MAV have interpreted it. However it as a terrible question as it is way to vague and ambiguous, because it can also be interpreted as the actual amount of people that changed votes overall; which is 200.
I would have to agree with you here. But I would also like to add that, the question makes no statement whatsoever about the order of the initial matrix, so you could do 300,200,100 or 300,100,200 or 200,300,100 or 200,100,300 or 100,300,200 or 100,200,300. And then find the difference between them, I have done that and here are the results: 180, 200, 80, 220, 60, 160.
So this question is actually beyond garbage. Because depending on how you view it you could have one of the 6 answers above. Or 200 (which co-incidentally is one of the answers above).