using matlab solve only B and c In some computer programs, a loop is necessary to add a list of numbers. Consider

the cubes of the first $100$ integers, $1^3,2^3,3^3,$cdots,${100}^3.$

a$.$ Create a matrix of the numbers $1$ to $100$ and use the sum command to find

the sum of the cubes of the numbers.

b$.$ Use a for loop to find the same sum by adding the cubes of the numbers one

at a time $($onto a cumulative sum$).$

c$.$ A formula that you may have seen is that the sum of the cubes of the numbers

from $1$ to $n$ is given by $\frac{n^2(n+1{)}^2}{4}.$ Confirm your sum in the previous parts

using this formula.