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The goal of this exercise is to find a least square solutions of a matrix equation Ax A = 2 0 2 0 2 7 = = b where 2 -3 1

The goal of this exercise is to find a least square solutions of a matrix equation Ax A = 2 0 2 0 2 7 = = b where 2 -3 1

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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a) Compute an orthogonal basis of the matrix A.

b) Use part a) to compute the vector projCol(A)b, i.e. the orthogonal projection of b onto the column space of A.

c) Solve the matrix equation Ax=projCol(A)b. Its solutions are the least square solutions of the original equation Ax=b.

The goal of this exercise is to find a least square solutions of a matrix equation Ax = b where 2 -2 41-8 0 0 b -1 2 by calculating the projection of the vector b onto the column space of the matrix A. A = = 2 -3
Transcribed Image Text:The goal of this exercise is to find a least square solutions of a matrix equation Ax = b where 2 -2 41-8 0 0 b -1 2 by calculating the projection of the vector b onto the column space of the matrix A. A = = 2 -3
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