Write a Matlab code without using the build-in functions for linear interpolation of a sine function. let phi(x) = x^2 be the transformation domain. x is from 0 to 10 as positive integers. now after the transformation, the new x domain is now from 0 to 100 for all positive integers. samples only given are x =0, 1, 2^2, 3^3..., 10^2 in a total of 11 samples. use linear interpolation to fill the values of rest integers from 0 to 100. show on a stem plot.