Suppose you measure t asure the following (x, y) values: (1, 1.5) (2, 1.8) (5, 4.3) (7, 6.5) + You do least squares linear interpolation, finding the best fit solution in the parameters for the equation y-ar+using the matrix equation 4()-y which you transform into ATA -Ay which has a unique solution. What is the determinant of the matrix AT A in this procedure? (it will be an integer, so no rounding is needed)

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter4: Eigenvalues And Eigenvectors
Section4.6: Applications And The Perron-frobenius Theorem
Problem 23EQ
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Suppose you measure the following (x, y) values:
(1, 1.5)
(2, 1.8)
(5, 4.3)
(7, 6.5)
You do least-squares linear interpolation, finding the best fit solution in the parameters , & for the equation yax+busing the matrix equation A
transform into ATA
()- ATy which has a unique solution.
What is the determinant of the matrix AA in this procedure? (it will be an integer, so no rounding is needed.)
4(:)-y which you
Transcribed Image Text:Suppose you measure the following (x, y) values: (1, 1.5) (2, 1.8) (5, 4.3) (7, 6.5) You do least-squares linear interpolation, finding the best fit solution in the parameters , & for the equation yax+busing the matrix equation A transform into ATA ()- ATy which has a unique solution. What is the determinant of the matrix AA in this procedure? (it will be an integer, so no rounding is needed.) 4(:)-y which you
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