solve q$3$ for me and import pandas as pd

import numpy as np

import seaborn as sb

import matplotlib.pyplot as plt

def PCA$($X $,$ num$\_$components$)$:

$\text{'}\text{'}\text{'}$

X: D x N matrix $($to be consistant with the description in the textbook$)$

$\text{'}\text{'}\text{'}$

#Step$-1$

X$\_$mean $=$ np$.$mean$($X$,$ axis$=1,$ keepdims$=$True$)$ #treat X as a DxN matrix $($treat each column as a sample and each row as a feature$)$

### Fill in ################################

#Step$-2$

cov$\_$mat $=$

############################################

#Step$-3$

eigen$\_$values $,$ eigen$\_$vectors $=$ np$.$linalg.eigh$($cov$\_$mat$)$

### sort from highest to lowest eigenvalues

eigen$\_$vectors $=$ eigen$\_$vectors$[$:$,$ np$.$argsort$(-$eigen$\_$values$)]$

eigen$\_$values $=$ eigen$\_$values$[$np$.$argsort$(-$eigen$\_$values$)]$

### Fill in ################################

Z $=$

############################################

return Z

if $\_\_$name$\_\_=="\_\_$main$\_\_"$:

#Get the IRIS dataset

url $="$https:$//$archive$.$ics.uci.edu$/$ml$/$machine$-$learning$-$databases$/$iris$/$iris$.$data"

data $=$ pd$.$read$\_$csv$($url$,$ names$=[\text{'}$sepal length','sepal width','petal length','petal width','target'$])$

#prepare the data

x $=$ np$.$asarray$($data$.$iloc$[$:$,0$:$4].$T$)$ #change dimension from NxD $->$ DxN

#prepare the target

target $=$ data.iloc$[$:$,4]$

#Applying it to PCA function

z $=$ PCA$($x $,2)$

#Creating a Pandas DataFrame of latent codes

latent$\_$code $=$ pd$.$DataFrame$($z$.$T $,$ columns $=[\text{'}$PC$1\text{'},\text{'}$PC$2\text{'}])$

#Concat it with target variable to create a complete Dataset

latent$\_$code $=$ pd$.$concat$([$latent$\_$code $,$ pd$.$DataFrame$($target$)],$ axis $=1)$

### Visualize data in PCA dimensions

plt$.$figure$($figsize $=(6,6))$

sb$.$scatterplot$($data $=$ latent$\_$code $,$ x $=\text{'}$PC$1\text{'},$y $=\text{'}$PC$2\text{'},$ hue $=$ 'target' $,$ s $=60,$ palette$=$ 'icefire'$)$

plt$.$grid$()$

plt$.$show$()$

plt$.$close$()$ this is python code