CSE230

Use the method which is mentioned in the question.

These are part of same problem Solve all the subparts.

I am running Out of time. PLEASE DO SUPERFASTLY

Question:

Question # 36: Consider a set of four data points: f10) = 0.f2) = -1,f- 1) = 2 and f(1) = 2. We now find the solution by QR-decomposition method using these four data points by answering the following: 1. (1.5 Marks) Write down the matrix A and b. Also identify the linearly independent column vectors U, V, 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 93 from the linearly independent column vectors U7, Uz 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 Rx and QTb, where x = (ao at az) is a column vector with 20. a4 and az are the coefficients of the polynomial pz. 5. (1 Mark) Using the above result, find the values of 0.2, and az; and write the polynomial pz(x)