Show that {u,, u2, uz) is an orthogonal basis for R. Then express x as a linear combination of the u's. 2 1 u1 - 3 = "n 2 and x = - 2 %3D U3 - 1 4 1

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter5: Inner Product Spaces
Section5.3: Orthonormal Bases:gram-schmidt Process
Problem 71E
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Express x as a linear combination of the u's.
]u,+Ju2 + [
u3
(Use integers or fractions for any numbers in the equation.)
Transcribed Image Text:Express x as a linear combination of the u's. ]u,+Ju2 + [ u3 (Use integers or fractions for any numbers in the equation.)
Show that {u1, U2, u3 is an orthogonal basis for R°. Then express x as a linear combination of the u's.
3
2
1
3 , u2 =
U3
and x =
%3D
- 2
- 1
1
Transcribed Image Text:Show that {u1, U2, u3 is an orthogonal basis for R°. Then express x as a linear combination of the u's. 3 2 1 3 , u2 = U3 and x = %3D - 2 - 1 1
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