$($b$)$ Write out $A_n^{-1}$ in the general case $n>1.($If necessary, look at a few more cases in

MATLAB until you are certain of the pattern.$)$ Make a clear argument of why it is

correct. $($Using MATLAB for several different values of $n,$ however many they are, is not

a valid argument.$)$

$($c$)$ Find ${}_1(A_n),$ the $1-$norm based matrix condition number.