**Problem 19.** Find the best least-squares solution $ \hat{x} $ to $ 3x = 10, 4x = 5 $. What error $ E^2 $ is minimized? Check that the error vector $ (10 - 3\hat{x}, 5 - 4\hat{x}) $ is perpendicular to the column $ (3, 4) $.

The given equations 3x=10 and 4x=5 can be written as system of equations Ax=b where A=34 and b=105.…

Answered: Problem 19. Find the best least-squares…

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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Problem 19. Find the best least-squares solution to 3x= 10, 4x=5. What error E2 is minimized? Check that the error vector (10-3,5-4) is perpendicular to the column (3,4).