40. Let H = Span {V₁, V2, V3} and B = {V1, V2, V3}. Show that B is a basis for H and x is in H, and find the B-coordinate vector of x, for -3 -0-0-0-0 = V3 = 7 -3 = -6 -9 L 4 -9 5 -8 3 ,X = 4 7 -8 3

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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40. Let H = Span {V1, V2, V3} and B = {V₁, V2, V3}. Show that B
is a basis for H and x is in H, and find the B-coordinate vector
of x, for
-3
-0-0-0-0
, =
V3 =
7
-3
=
-6
-9
4
-9
5
-8
3
,X =
4
7
-8
3
Transcribed Image Text:40. Let H = Span {V1, V2, V3} and B = {V₁, V2, V3}. Show that B is a basis for H and x is in H, and find the B-coordinate vector of x, for -3 -0-0-0-0 , = V3 = 7 -3 = -6 -9 4 -9 5 -8 3 ,X = 4 7 -8 3
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