Consider the two$-$dimensional ten patterns given below $(2\mathrm{.}5,2\mathrm{.}4),(0\mathrm{.}5,0\mathrm{.}7),(2\mathrm{.}2,2\mathrm{.}9),(1\mathrm{.}9,2\mathrm{.}2),(3\mathrm{.}1,3\mathrm{.}0),(2\mathrm{.}3,1\mathrm{.}7),(2,1\mathrm{.}6),(1,1\mathrm{.}1),(1\mathrm{.}5,1\mathrm{.}6),(1\mathrm{.}1,0\mathrm{.}9).$ Compute the principal component usingPrincipal Component Analysis $($PCA$)$ Algorithm. Do not use predefined functions to do your calculations and show your work manually.