Find the coordinate vector [x] of x relative to the given basis B = {b₁,b₂, b3}. b₁ = 1 - 1 - 3 , b₂ = [X]B = (Simplify your answer.) -2 3 6 b3 2 -2 10 ; X= 5 -6 17

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 29E
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Question
Find the coordinate vector [x] of x relative to the given basis B = {b₁,b₂, b3}.
b₁ =
1
- 1 b₂ =
- 3
[X]B
(Simplify your answer.)
- 2
3.03
6
b3 =
2
- 2
10
X=
5
- 6
17
Transcribed Image Text:Find the coordinate vector [x] of x relative to the given basis B = {b₁,b₂, b3}. b₁ = 1 - 1 b₂ = - 3 [X]B (Simplify your answer.) - 2 3.03 6 b3 = 2 - 2 10 X= 5 - 6 17
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