PLEASE PROVIDE ANSWERS BASED ON PYTHON CODE, USE NUMPY LIBRARY

Answer all the following questions. Mark question numbers as comments in code cells.

$(15$ points$)$ In five cells create five lists respectively, each satisfying one of the

following requirements. Each list should be assigned to a parameter and its value

should be displayed under the cell:

a$.(3$ points$)$ Create a list of $15$ integers of your choice, with some repeated

elements; the list object is denoted by list a$.$ Output list a$.$

b$.(3$ points$)$ Create a list of $20$ float numbers of your choice, with some

repeated elements; the list object is denoted by list $b.$ Output list $b.$

c$.(3$ points$)$ Use list a and list $b$ to create a list denoted by list $c$ that includes

all elements of both list a and list $b.$ Output list $c.$

d$.(3$ points$)$ Use list a and list $b$ to create a list denoted by list $d$ that includes

unique elements of both list a and list $b.$ Output list $d.$

e$.(3$ points$)$ First create a string of a complete sentence with punctuation$($s$).$

Then create a list of words comprising the sentence from the string. Remove

any punctuation. Denote the list by list e and output it$.$

$(15$ points$)$ In five cells create five arrays respectively, each satisfying one of the

following requirements. Each array should be assigned to a parameter and its value

should be displayed under the cell:

a$.(3$ points$)$ Create a $1-$dimensional array of zeros with the array length equal

to your height $($in cm$).$ Denote the array by array a and output it$.$

b$.(3$ points$)$ Set all elements in array a to $2023$ and denote the new array by

array b$.$ Output array b$.$

c$.(3$ points$)$ Make a $50$ by $50$ identity matrix as an array. Denote the array by

array ${?}_{\text{c}\text{a}\text{t}}$ and output it$.$

d$.(3$ points$)$ First make two arrays: a $10$ by $10$ matrix of positive float numbers

$($denoted by $A)$ and a $10$ by $2$ matrix of float numbers $($denoted by $B).$

Generate a new array denoted by array d$,$ i$.$e$.arra{y}_{d}d=A^{2}B.$ Output array $d.$

e$.(3$ points$)$ First generate a matrix $C,C=B^{T}A.$ Then generate a matrix $arra{y}_{c^2}e,$

with each of its element being the square root of the element of matrix $C$ in

the same position. Output array e$.$