Find the orthogonal projection of 0 0 onto the subspace V of R¹ spanned by -1 1 1 -1 -1 -1 -1 -9 0 projy(v)= 1 -1 and -1 -1 1 1

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
0
V
onto the subspace V of Rª spanned by
-1
-1
-1
0
-9
0
projv (v) =
1
1-
and
1
-1
-1
-1
1
1
Transcribed Image Text:Find the orthogonal projection of 0 V onto the subspace V of Rª spanned by -1 -1 -1 0 -9 0 projv (v) = 1 1- and 1 -1 -1 -1 1 1
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