Write a python function to perform the following tasks:

Set the seed of the numpy random number generator to $1234.$

Define

to be a

matrix with normally distributed random entries having zero mean and unit variance $($use numpy.random.normal$).$

Loop through each element of

$($remember that there are two dimensions$).$ If the element is negative, make it positive by replacing it with its square $($i$.$e$.,$ set

to

if

$).$ But don't change the positive entries of

$.($Use for and if$.$ Could you perform the same operation using only one line of code in python?$).$

Now define

to be a

column vector of uniformly distributed numbers between $0$ and $1($using numpy.random.uniform$).$

Now define the

vector

$($using matrix$-$vector product$).$

Define

to be the mean value of the element$-$wise product between

and

$($i$.$e$.,$ the average over

of

$).$ You should be able to do this in one line. Use the built$-$in function, numpy.mean, to take the mean.

Run the script.

Debug any errors you see.

You should get a single positive number as the result. Please report your code and show a printout of the result.