n order to correctly implement numerical methods it is important to be able to properly identify mathematical order of operations. In addition, numerical methods often include working with arrays $($vecrors or large lists of numbers$).$ This question will assess your ability to handle both of these numerical needs.

For the arrays,

x $=$ np$.$array$([2\mathrm{.}8,6\mathrm{.}2,2,1\mathrm{.}2,4\mathrm{.}6])$

y $=$ np$.$array$([5\mathrm{.}3,1\mathrm{.}6,6\mathrm{.}2,1\mathrm{.}2,7\mathrm{.}4,7\mathrm{.}5,5\mathrm{.}7])$

Calculate the values of a

and b

as defined below.

a$=1$n$$x$1$m$$y $$x$2($y$)2$

where n

and m

are the number of elements in the x

and y

arrays respectivly.

b$=$cos$32$a$2$