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 I?
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 I?
A) I
B) F
C) T
D) R

Quizplus · Accepted Answer

The inverse of any element in a group is the element that yields the identity when multiplied by the original element. Since multiplying I by itself yields I (the identity element), the inverse of I is itself, or I.

For the Following Questions Use the Table Below for the Klein