True or false. Give a specific example when false:

$($a$)$ If columns $1$ and $3$ of $B$ are the same, so are columns $1$ and $3$ of $AB.$

$($b$)$ If rows $1$ and $3$ of $B$ are the same, so are rows $1$ and $3$ of $AB.$

$($c$)$ If rows $1$ and $3$ of A are the same, so are rows $1$ and $3$ of ABC.

$($d$)(AB{)}^2=A^2{B}^2.$