p(x) = a0 + a1 x + ... an-1xn-1
As you know, it is possible to set up a linear system B*alpha=y whose solution alpha gives you the n coefficients a0, ..., an-1. Write a Matlab program to construct the matrix B and compute its condition number, for n = 3, 4, ..., 10. Turn in a copy of your code and the output showing the condition numbers. (Note: use the matlab function cond() to compute the condition numbers).