Consider the following Python program:

for i in xrange$($n$)$:

for j in xrange$($n$)$:

for k in xrange$($n$)$:

c$[$i$][$j$]+=$ a$[$i$][$k$]*$ b$[$k$][$j$]$

Run the program above on your own machine and report the execution time for the following cases:

$960$ x $960$ matrix size

$4096$ x $4096$ matrix size