Question

Am nevoie urgent!!!!

Answer 1

Răspuns:

n = 5

Explicație pas cu pas:

$X^{2} = X * X = \left[\begin{array}{ccccc}1&2&3&4&5\\5&4&2&1&3\end{array}\right] *\left[\begin{array}{ccccc}1&2&3&4&5\\5&4&2&1&3\end{array}\right] = \left[\begin{array}{ccccc}1&2&3&4&5\\3&1&4&5&2\end{array}\right] \\\\X^{3} = X^2 * X = \left[\begin{array}{ccccc}1&2&3&4&5\\3&1&4&5&2\end{array}\right] *\left[\begin{array}{ccccc}1&2&3&4&5\\5&4&2&1&3\end{array}\right] = \left[\begin{array}{ccccc}1&2&3&4&5\\2&5&1&3&4\end{array}\right] \\\\X^{4} = X^3 * X = \left[\begin{array}{ccccc}1&2&3&4&5\\2&5&1&3&4\end{array}\right] *\left[\begin{array}{ccccc}1&2&3&4&5\\5&4&2&1&3\end{array}\right] = \left[\begin{array}{ccccc}1&2&3&4&5\\4&3&5&2&1\end{array}\right]\\\\X^{5} = X^4 * X = \left[\begin{array}{ccccc}1&2&3&4&5\\4&3&5&2&1\end{array}\right] *\left[\begin{array}{ccccc}1&2&3&4&5\\5&4&2&1&3\end{array}\right] = \left[\begin{array}{ccccc}1&2&3&4&5\\1&2&3&4&5\end{array}\right]$

Deci $X^{5} = e$ ⇒ n = 5