Question $4(15$ points$)$

We have collected rainfall data at $4$ different locations in Panhandle over $3$ years.

$Y2020=\left[\begin{array}{ccc}10& 9\mathrm{.}5& 11\mathrm{.}5\end{array}\right]$

$13$

$Y2021=\left[\begin{array}{ccc}9& 7\mathrm{.}5& 10\end{array}\right]$

$5$

$Y2022=\left[\begin{array}{ccc}21& 12\mathrm{.}5& 16\end{array}\right]$

$18$

Define a $3$ dimensional matrix $A(i,j,k)$ where its $3^{rd}$ dimension represents the year.

a$)$ What is the range of $i,j$ and $k?$

b$)$ Use matrix A and retrieve the data for year $2021.$

c$)$ Find the average of rainfall at $(1,1)$ over three years.

d$)$ Use function "max" to find the maximum rainfall in year $2022$ from matrix $A.$