$(4$ pts$)$ Given $u=(1,2,1),v=(2,1,0),A=\left[\begin{array}{ccc}1& 3& 1\\ 2& 1& 1\end{array}\right],B=\left[\begin{array}{cc}1& 2\\ 0& 1\\ 4& 0\end{array}\right],$ compute the

following. Make sure that you know how to do the calculations manually. You are

welcome to write a program to verify your answers.

$u*v$

$A{u}^t$

$AB$