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Question: problem 4 moriarty was sending messages each containing 10 numbers...

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Problem 4. Moriarty was sending messages, each containing 10 numbers that were encrypted. For breaking the code used by Moriarty, Dr Watson wrote a system of ten linear equations with ten unknowns where numbers sent by Moriarty were used as right sides. He tried it on the first message and got two possible answers, which was not a big deal because only one made sense. But when he told Sherlock about it Sherlock did not look happy. He immediately, without even looking at the system, told Watson that there are more possible answers, but what is worse, for some right sides Watson wont be able to solve this system at all. How did he know those things? Answer:

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