Problem 1. Let c, C be the columns of the matrix b, ba and let b 3 ba (a) Find the matrix (A"A) 1. (b) Find necessary and sufficient conditions on the components of b in order the system Ax b be consistent. Find the least square solution for Ax (c) Let S Lin{C, C2). Find a basis of the orthogonal complement s' of S. (d) Explain why each vector v E IR can be expressed in precisely one way as v = u+ w, where u ES and wES. b. %3D
Problem 1. Let c, C be the columns of the matrix b, ba and let b 3 ba (a) Find the matrix (A"A) 1. (b) Find necessary and sufficient conditions on the components of b in order the system Ax b be consistent. Find the least square solution for Ax (c) Let S Lin{C, C2). Find a basis of the orthogonal complement s' of S. (d) Explain why each vector v E IR can be expressed in precisely one way as v = u+ w, where u ES and wES. b. %3D
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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