The vector x is in a subspace H with a basis B = {b₁,b₂}. Find the B-coordinate vector of x. - 2 4H9 b₂ X = - 19 - 2 3 [X]B b₁ = = 1 -8 11

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter4: Vector Spaces
Section4.5: Basis And Dimension
Problem 69E: Find a basis for R2 that includes the vector (2,2).
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The vector x is in a subspace H with a basis B = {b₁,b₂}. Find the B-coordinate vector of x.
b₁
[X]B =
1
3
- 2
"
b₂:
- 2
- 5
3
X =
-8
- 19
11
Transcribed Image Text:The vector x is in a subspace H with a basis B = {b₁,b₂}. Find the B-coordinate vector of x. b₁ [X]B = 1 3 - 2 " b₂: - 2 - 5 3 X = -8 - 19 11
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