= Question # 32: Consider a set of four data points: f (0) = 3f (2) = -4 (-1) = and f (1) = 1We now find the solution by QRdecomposition method using these four data points by answering the following: 1. (1.5 Marks) Write down the matrix Aand b. Also identify the linearly independent column vectors U1, U2 and uz from the matrix A 2.(4.5 Marks) Using the Gram-Schmidt process construct the orthonormal column matrices (or vectors) 91, 92 and q3 from the linearly independent column vectors U1, U2 and Uz obtained in the previous part, and then write down the Q matrix. 3. (2 Marks) Now calculate the matrix elements of R and write down the matrix R 4. (1 Mark) Compute Rwand QTb, where x = (ao aj az)Tis a column vector with aj, aj and a2 are the coefficients of the polynomial p2. 5. (1 Mark) Using the above result, find the values of ao, aj and az; and write the polynomial p2 (2)