Consider the binary operation $\wedge$ on the set $\{1, 2, 3, 4, 5\}$ defined by $a \wedge b = \min\{a, b\}$. Write the operation table of the operation $\wedge$.

(N/A) The binary operation $\wedge$ on the set $S = \{1, 2, 3, 4, 5\}$ is defined as $a \wedge b = \min\{a, b\}$ for all $a, b \in S$.
To construct the operation table,we calculate $a \wedge b$ for every pair $(a, b)$ where $a, b \in \{1, 2, 3, 4, 5\}$. The value in each cell is the minimum of the corresponding row and column headers.

$\wedge$	$1$	$2$	$3$	$4$	$5$
$1$	$1$	$1$	$1$	$1$	$1$
$2$	$1$	$2$	$2$	$2$	$2$
$3$	$1$	$2$	$3$	$3$	$3$
$4$	$1$	$2$	$3$	$4$	$4$
$5$	$1$	$2$	$3$	$4$	$5$