This is a solution from my professor about how to solve 2a and 2b on the problems listed. Can you please break them down into much smaller steps because I feel like it goes really fast (especially 2b)? 2By the computation in the last paragraph, we have Q = [u,u2] and R =0.%3D%3D||x2|]2. Consider the data points (1, 2), (2,3), (3, 7).(a) Find a degree 2 polynomial passing through the three data points.(b) Find a degree 1 polynomial f(x) = ao + a1x with minimum errorE-1 ly; - f(x;)/².11 1||boSolution. (a) Suppose g(x) = bo + b1x + b2x² fits the data. Then 3=12 4b1%3D139b2Solving the system, we see that (bo,b1,b2) = (4,–3.5, 1.5). So, g(x) = 4- 3.5x + 1.5x².%3D[11(b) By the least square theory, we let B == | 1 2 and b = |3 and solve BT Bâu = BTb.1%3D%3D7We see that = (ao,a1) = (-1,2.5). So, f (x) = -1 + 2.5x is the best fit for the data.%3D%3D3.3. Find a SVD for A =23and find a unit vector x eR? such that Ax has the maximum length.%3D-217Solution. We consider B = AT A8.det(B - AI) = (17 - A)2 - 82 = (25 - A)(9 – ). Then%3D|8.172)

Answered: Image /qna-images/answer/a7c83c60-35ff-487d-95eb-7599bb223aa6.jpg

2. Consider the data points (1,2), (2,3), (3,7). (a) Find a degree 2 polynomial passing through the three data points. (b) Find a degree 1 polynomial f(x) = ao + a1 with minimum error E-1 y; - f(x;)[². [2]

2. Consider the data points (1,2), (2,3), (3,7). (a) Find a degree 2 polynomial passing through the three data points. (b) Find a degree 1 polynomial f(x) = ao + a1 with minimum error E-1 y; - f(x;)[². [2]

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Hello, I have been stuck on this question for a while now. I believe I did all the steps right thus far if I did not make a mistake somewhere down the line, I have not been able to find a way to know what A=? and what B=? could anyone spot a mistake that I could have made down the line or what might be my next step to finally finding what A and B are equal to? Thanks, you!