Question $1(5$ points$)$ Programing Assignment

$($a$)(0$ points$)$ Decide how you will access the jupyter notebooks $($binder$,$ docker image or native installation$)$ Contact me if you need help.

$($b$)(0$ points$)$ Decide which language you want to use. Make sure it supports matrices.

$($Some possible choices are python, julia, matlab.$)$

Start a new notebook and Write a function that does the following:

$1.$ takes a matrix A and an integer k as inputs

$2.$ computes Ak $=$ AA $...$ A $($the product of k matrices A$)$ if the matrix is square, i$.$e$.,$ has the

same number of rows and colums, and computes the transpose of A otherwise

$3.$ returns the result of the computation

$($c$)(5$ points$)$ Test your function by computing A$2$

$,$ A$3$ and A$4$

for the matrix A $=$

$$

$$

$131$

$202$

$131$

$$

$$

and show that result in your solution.