Math $1371$ Projects, Xiaoyan Hu$,$ MGA

Project $2$: Chapter $3$ Sec $3\mathrm{.}3$I

Write a MATLAB script to solve the following problems using vector operations.

$($Part I$)$ Assume that you have three vectors

$A=[a_1,$cdots,$a_n],B=[b_1,$cdots,$b_n],C=[c_1,$cdots,$c_n]$

of equal length, and create a vector $D$ that combines $A,B$ and $C$ such that

$D=[a_1,b_1,a_2,b_2,$cdots,$a_n,b_n,c_1,$cdots,$c_n]$

Requirement: You ccould choose any A and $B$ in this example for your program. But your program should work if we ONLY change A and $B$ to any other vectors of the same length.

For example, if $A=[2,4,8],B=[-2,-9,-27],C=[1,1,1],$ then

$D=[2,-3,4,-9,8,-27,1,1,1]$

For example, if $A=[1,2,3],B=[-1,-2,-3],C=[5,6,7]$ then

$D=[1,-1,2,-2,3,-3,5,6,7]$

Hint: you are not required to follow the steps below. You could choose any way that works.

Step $1$: $\%$define A and $B$

Step $2$: $\%$create a zero matrix $E$ with the length twice of length $(A)$

Step $3$: $\%$ change all elements of $E$ on the odd positions

Step $4$: $\%$ change all elements of $E$ on the even positions

Step $4$: $\%$ concatenate $E$ and $C$ to create $D.$