Let W be the subspace of R4 spanned by the vectors 1 1 and -6 -1 6 1 4 Find the matrix A of the orthogonal projection onto W.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.3: Least Squares Approximation
Problem 44EQ
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Let W be the subspace of R4 spanned by the vectors
1
1
and
-6
-1
6
4
Find the matrix A of the orthogonal projection onto W.
2
3
2
2
3
3
A =
2
3
2
3
2/3
N|3
N|3
Transcribed Image Text:Let W be the subspace of R4 spanned by the vectors 1 1 and -6 -1 6 4 Find the matrix A of the orthogonal projection onto W. 2 3 2 2 3 3 A = 2 3 2 3 2/3 N|3 N|3
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