Problem $1.$ PCA $+$ Visualization

$(10$ Points; $5+5)$

$($a$)$ Perform Principal Component analysis $($PCA$)$ on the iris data and reduce it into two dimensional data. Plot this new $2$D data. $($show different classes with different symbols$).$

$($b$)$ Show the scatter plot between petal width and petal length features for the iris data. Which of the above two plot show the data that is relatively well separated? Explain your reasoning.

Please solve in Rstudio