Loops and if$-$else $/$ switch case question. You must create three $.$m files: two are UDF function files for step b and d$,$ and one is a script file that includes all steps from a to e$.$

a $-$ Write a script that determines the following sum using a While loop:

y$=\_($i$=3)^10(3-2$i$)^2$

b $-$ Write a UDF function, called q$3$flipmatrix, that has one input matrix A and one output matrix B$.$ The function returns matrix B the same size as matrix A$,$ but with the order of the elements reversed both in row and column. For example, for $4$x$4$ matrix A:

A$=[(1$&$2$&$3$&$4$@$5$&$6$&$7$&$8$@$9$&$10$&$11$&$12$@$13$&$14$&$15$&$16)]$

B$=[(16$&$15$&$14$&$13$@$12$&$11$&$10$&$9$@$8$&$7$&$6$&$5$@$4$&$3$&$2$&$1)]$

Copy and paste the UDF code.

c $-$ Call the function, q$3$flipmatrix, with the following input matrix C and obtain a new matrix D$.$ Show both C and D$.$

C$=[(1$&$3$&$5$&$7$@$2$&$4$&$6$&$8)]$

d $-$ Write a user$-$defined function $($UDF$),$ with one input $($matrix A$)$ and one output $($matrix B$)$ such that all negative elements in matrix A are replaced with zero, and all positive elements in matrix A are replaced with square roots of the elements. You must use loops to create this UDF function. You may name the function q$3$UDF.

For example, if input matrix A is

A$=[(-1$&$2$&$3$@$4$&$3$&$0$@$2$&$-9$&$4)]$

Then, the output matrix B will be

B$=[(0$&$1\mathrm{.}414$&$1\mathrm{.}732$@$2$&$1\mathrm{.}732$&$0$@$1\mathrm{.}414$&$0$&$2)]$

Copy and paste the UDF code.

e $-$ Use built$-$in Matlab function $$randi$$ to generate a $3$ by $3$ random matrix E $(3$ rows and $3$ columns$)$ that range from $-20$ to $20($the minimum number is $-20,$ and the maximum number is $20).$ Test your function, q$3$UDF, for this matrix E to obtain a new matrix F$.$ Show both E and F$.$