Problem 20. For the four points b=0,8,8,20 and t=0,1,3,4, we want to find the closest parabola b=C+ Dt +Et². Write the equations Ax=b in the three unknowns x = (C,D,E). Set up the three normal equations ATA-ATb. You do not need to solve the system.

Linear Algebra: A Modern Introduction
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ISBN:9781285463247
Author:David Poole
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Chapter4: Eigenvalues And Eigenvectors
Section4.2: Determinants
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Problem 20. For the four points b= 0, 8, 8, 20 and t = 0, 1,3,4, we want to find the closest parabola
b=C+ Dt +Et². Write the equations Ax=b in the three unknowns x = (C,D,E). Set up the three
normal equations AT A = AT b. You do not need to solve the system.
Transcribed Image Text:Problem 20. For the four points b= 0, 8, 8, 20 and t = 0, 1,3,4, we want to find the closest parabola b=C+ Dt +Et². Write the equations Ax=b in the three unknowns x = (C,D,E). Set up the three normal equations AT A = AT b. You do not need to solve the system.
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