Hutchins also struggled on his serve and found himself break point down serving to stay in the set at 2-5, but although he held his nerve, Matkowski was rock solid on his serve to give Poland the third set.
Kirilenko will meet third seed Agnieszka Radwanska of Poland in the quarter-finals, while top seed Samantha Stosur of Australia will play Yanina Wickmayer of Belgium.
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England thrashed San Marino 8-0 as striker Jermain Defoe scored twice, while Ukraine moved up to third on goal difference above Poland with a 3-1 away victory in a match between the Euro 2012 host nations.
Romania's Nicoleta Grasu was just over a metre behind as she took silver, while Poland's Joanna Wisniewska was third.
Poland and Ukraine will be only the third co-hosts of the European Championship, following in the footsteps of Belgium and the Netherlands in 2000, and Austria and Switzerland in 2008.
Poland's fighting forces are down to about a third of the original size, but their mandate is due to expire at the beginning of next year.
Earlier, officials in Prague declared about a third of the country a disaster area, and several border crossings with Poland and Germany were closed.
Slovakia face minnows San Marino while Slovenia travel to Poland, beaten 2-0 on Saturday away to the third-placed Czech Republic -- who can still snatch a playoff place.
Nigel Worthington's team has slipped to third in Group Three with Slovenia moving up to second on goal difference after beating Poland 3-0.
Unilateral or accelerated adoption of the euro would make far less sense for a third group of bigger countries with floating exchange rates: the Czech Republic, Hungary, Poland and Romania.
In Poland, a traditionalist and ruralist party, Samoobrona (Selfdefence), came third, nabbing seven seats. (Two other right-wing parties, the crime-bashing Law and Justice and the Catholic-nationalist League of Polish Families, also did well.) Two parties in Austria and the Netherlands, though not strictly Eurosceptic, campaigned successfully against corruption and mismanagement in Brussels.
Russia, Italy and Poland also qualified but Great Britain's quartet blew their chances with an awful changeover on the third leg.
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