Question

Найти произведение двух перестановок

Answer 1

$t = \left(\begin{array}{ccccc}1&2&3&4&5\\5&3&1&4&2\end{array}\right)\\\\ s = \left(\begin{array}{ccccc}1&2&3&4&5\\3&1&2&5&4\end{array}\right)\\\\ ts(1) = t(s(1)) = t(3) = 1\\ ts(2) = t(s(2)) = t(1) = 5\\ ts(3) = t(s(3)) = t(2) = 3\\ ts(4) = t(s(4)) = t(5) = 2\\ ts(5) = t(s(5)) = t(4) = 4\\\\ ts =\left(\begin{array}{ccccc}1&2&3&4&5\\1&5&3&2&4\end{array}\right)$

Ответ: $\left(\begin{array}{ccccc}1&2&3&4&5\\1&5&3&2&4\end{array}\right)$