31: Consider a set of four data points: f(0)=3, f(2)=2, f(1)=2 and f(1)=1. Find the best fit polynomial of degree two, p2(x), for the above data points using least-squares method by answering the following:

1. (2 Marks) Write down the matrices, A and b, from the above data.
2. (3 Marks) Compute the normal matrix ATA and ATb.
3. (5 Marks) Use the results in the previous part to compute the column matrix x=(a0 a1 a2)T, where a0, a1 and a2 are the coefficients of the polynomial p2, and then write the expression of the polynomial p2.