$1.$ Design a $1-$line code that creates a numpy array variable mat and

assigns it to the following $10$x$10$ matrix filled with numbers from

$1$ to $100$:

$12...10$

$1112...20$

: : : :

$9091...100$

$2.$ Design functions num$\_$elements$($m$),$ num$\_$rows$($m$),$ and

num$\_$columns$($m$)$ that return correspondingly the number of

elements, rows, and columns in a given matrix $($numpy array$)$ m$.$

$3.$ Design functions row$\_$means$($m$)$ and column$\_$means$($m$)$ that

compute the array of means of the rows and columns for a

matrix m$,$ respectively. Compute row$\_$means$($mat$)$ and

column$\_$means$($mat$)$ for the matrix mat constructed above.

$1$

$4.[$extra$-$credit$]$ Create an array b with exactly $50$ points equally

spaced in the range from $11$ to $23.$ Using list comprehension and

built$-$in sum$()$ function, compute the sum of squares of elements