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, the operation is commutative.

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, the operation is commutative.

Quizplus · Accepted Answer

The table shows that for any two elements in the Klein 4-group, their operation (which is multiplication in this case) yields the same result regardless of the order in which they are multiplied. This is the definition of commutativity, so the operation is indeed commutative. Therefore, the answer is A) True.

For the Following Questions Use the Table Below for the Klein