$2-$ You are given a dataset with $14$ samples, each belonging to Class A or Class B$.$ The

samples are described by two features. The table below summarizes the data $(40$p$)$

Sample X$1$ X$2$ Class

S$11\mathrm{.}23\mathrm{.}4$ A

S$22\mathrm{.}14\mathrm{.}2$ A

S$33\mathrm{.}81\mathrm{.}5$ B

S$44\mathrm{.}52\mathrm{.}7$ B

S$51\mathrm{.}93\mathrm{.}8$ A

S$65\mathrm{.}32\mathrm{.}9$ B

S$71\mathrm{.}53\mathrm{.}7$ A

S$83\mathrm{.}22\mathrm{.}2$ B

S$92\mathrm{.}34\mathrm{.}4$ A

S$104\mathrm{.}71\mathrm{.}9$ B

S$111\mathrm{.}73\mathrm{.}6$ A

S$122\mathrm{.}92\mathrm{.}4$ B

S$132\mathrm{.}04\mathrm{.}0$ A

S$143\mathrm{.}51\mathrm{.}8$ B

Find the mean vectors, Covariance matrices, decision functions gA$($X$)$ AND gB$($x$)$ using

LDC$.$ Draw the decision boundary.