Find (a) the orthogonal projection of b onto Col A and (b) a least-squares solution of Ax = b. A = 8 0 1 -9 10 1 1 1 1 -1 -9 9 0 a. The orthogonal projection of b onto Col A is b = (Simplify your answer.)

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter5: Orthogonality
Section5.4: Orthogonal Diagonalization Of Symmetric Matrices
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Find (a) the orthogonal projection of b onto Col A and (b) a least-squares solution of Ax = b.
A =
8
0
1 -9
10 1
1
1
1
-1 -9
9
0
a. The orthogonal projection of b onto Col A is b = (Simplify your answer.)
Transcribed Image Text:Find (a) the orthogonal projection of b onto Col A and (b) a least-squares solution of Ax = b. A = 8 0 1 -9 10 1 1 1 1 -1 -9 9 0 a. The orthogonal projection of b onto Col A is b = (Simplify your answer.)
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