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46. A least squares plane The plane z = Ax + By + C is to be "fitted" to the following points (xk, Yk, Zk): (0, 0, 0), Find the values of A, B, and C that minimize (0, 1, 1), (1, 1, 1), (1, 0, – 1). 2(Axx + Byk + C – z)², k=1 the sum of the squares of the deviations.

46. A least squares plane The plane z = Ax + By + C is to be "fitted" to the following points (xk, Yk, Zk): (0, 0, 0), Find the values of A, B, and C that minimize (0, 1, 1), (1, 1, 1), (1, 0, – 1). 2(Axx + Byk + C – z)², k=1 the sum of the squares of the deviations.

Advanced Engineering Mathematics
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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46. A least squares plane The plane z = Ax + By + C is to be "fitted" to the following points (xk, Yk, Zk): (0, 0, 0), Find the values of A, B, and C that minimize (0, 1, 1), (1, 1, 1), (1, 0, – 1). 2(Axx + Byk + C – z)², k=1 the sum of the squares of the deviations.
Transcribed Image Text:46. A least squares plane The plane z = Ax + By + C is to be "fitted" to the following points (xk, Yk, Zk): (0, 0, 0), Find the values of A, B, and C that minimize (0, 1, 1), (1, 1, 1), (1, 0, – 1). 2(Axx + Byk + C – z)², k=1 the sum of the squares of the deviations.
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