Question

find out the multiplicative inverse of 11 in z27

Answer 1

$\textbf{Given:}$

$\mathsf{Z_{27}}$

$\textbf{To find:}$

$\textsf{Multiplicative inverse of 11}$

$\textbf{Solution:}$

$\boxed{\mathsf{a\,*\,a^{-1}=a^{-1}\,*\,a=e}}$

$\textsf{e-Identity element}$

$\mathsf{a^{-1}-Inverse\;of\;a}$

$\textsf{Consider,}$

$\mathsf{Z_{27}=\{0,1,2,3,4,.,.,...,25,26\}}$

$\mathsf{11\,._{27}\,1=11}$

$\mathsf{11\,._{27}\,2=22}$

$\mathsf{11\,._{27}\,3=6}$

$\mathsf{11\,._{27}\,4=17}$

$\boxed{\mathsf{11\,._{27}\,5=1}}$

$\implies\textsf{Inverse of 11 is 5}$

$\textbf{Find more:}$

In a Group Z11 under multiplication operation the

inverse of 9 is​

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