Given the system Ax b below: -1 2 1 4 1 -1 2 3 (a) Find the Least Squares solution ây of this system. [Hint: if you get awful fractions, check your work!] (b) Find the projection p of b onto the column space of A. [Hint: use x.] (c) Find the residual r = b – p. (d) Verify thatr€ N(A"), i.e., that the residual is in the nullspace of the transpose of A. (e) Did you actually solve the given 4 x 2 system? If not, what 4 x 2 system did you solve? Explain briefly.

Given the system Ax b below: -1 2 1 4 1 -1 2 3 (a) Find the Least Squares solution ây of this system. [Hint: if you get awful fractions, check your work!] (b) Find the projection p of b onto the column space of A. [Hint: use x.] (c) Find the residual r = b – p. (d) Verify thatr€ N(A"), i.e., that the residual is in the nullspace of the transpose of A. (e) Did you actually solve the given 4 x 2 system? If not, what 4 x 2 system did you solve? Explain briefly.

Name: Given the system Axb below:1241X =1-1523(a) Find the Least Squares so
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Description: Given the system Axb below:1241X =1-1523(a) Find the Least Squares solution x of this system.[Hint: if you get awful fractions, check your work!](b) Find the projection p of b onto the column space of A. [Hint: use x.](c) Find the residual r = b – p

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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