Find the orthogonal projection of -19 5 -5 -12 onto the subspace W of IRª spanned by 1 -4 and 5 10

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter5: Inner Product Spaces
Section5.CR: Review Exercises
Problem 47CR: Find an orthonormal basis for the subspace of Euclidean 3 space below. W={(x1,x2,x3):x1+x2+x3=0}
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Find the orthogonal projection of
-19
5
-5
-12
onto the subspace W of R* spanned by
1
-4
5
and
10
projw (7)
||
Transcribed Image Text:Find the orthogonal projection of -19 5 -5 -12 onto the subspace W of R* spanned by 1 -4 5 and 10 projw (7) ||
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