You may write a single script for all problems, or you may write individual scripts for each problem.

For problems $1$ and $2,$ write $.$py scripts to complete the tasks. Print out the script$($s$)$ as a pdf using

File $>$ Print in Spyder and turn in the pdf$.$

For problem $3,$ print out your Python script as a pdf and your figure as a pdf$.$

Problem $1$:

$A=\left[\begin{array}{ccc}-2& 1& 0\\ 5& 3& 7\\ 11& -4& 8\end{array}\right],$vec$(b)=\{[1],[5],[3]\},$vec$(c)=\{[8],[2],[9]\}$

Compute the following using the NumPy library $($note that a $"T"$ superscript indicates the transpose$)$:

vec$(x)=$Avec$(b)$

$y=$vec$(b{)}^T$vec$(c)$

$Y=$vec$(b)vec(c{)}^T$