For the following Questions use the table below for the Klein 4-group (see Example 6):
$\begin{array} { l | l | l | l | l | }
0 & I & F & T & R \
\hline I & I & F & T & R \
\hline F & F & I & R & T \
\hline T & T & R & I & F \
\hline R & R & T & F & I \
\hline
\end{array}$
-According to the table, what is the inverse of F?
A) I
B) F
C) T
D) R

Question

For the following Questions use the table below  for the Klein 4-group (see Example 6): 
$\begin{array} { l | l | l | l | l | } 
0 & I & F & T & R \
\hline I & I & F & T & R \
\hline F & F & I & R & T \
\hline T & T & R & I & F \
\hline R & R & T & F & I \
\hline
\end{array}$
-According to the table, what is the inverse of F?
A) I
B) F
C) T
D) R

Quizplus · Accepted Answer

The inverse of an element in a group is the element that, when multiplied by that element, produces the identity element. In this case, we can see from the table that F multiplied by itself gives us I, so the inverse of F is F itself. Therefore, the correct answer is B.

For the Following Questions Use the Table Below for the Klein