4. (a) Find the best least squares fit by a linear function to the data below. a|-1 |0|1|2 y|0|1|39 (b) Assume that the vectors in R³ have Euclidean inner product. (i) Use the Gram-Schmidt process to transform the following basis into orthogonal basis. uj = (1, 1, 1), u2 = (0, 1, 1), uz = (1, 2, 3). %3D (ii) Convert the orthogonal basis obtained in part (i) into orthonormal basis.
4. (a) Find the best least squares fit by a linear function to the data below. a|-1 |0|1|2 y|0|1|39 (b) Assume that the vectors in R³ have Euclidean inner product. (i) Use the Gram-Schmidt process to transform the following basis into orthogonal basis. uj = (1, 1, 1), u2 = (0, 1, 1), uz = (1, 2, 3). %3D (ii) Convert the orthogonal basis obtained in part (i) into orthonormal basis.
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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