The vectors v₁ = - 12 32 Write 4 -[-2]-~--[-]-~-[-2] V3 = 10 32 as a linear combination of V₁, V₂, V3. - 12 32 [-12-04-04 + 0 as a linear combination of V₁, V₂, V3 when the coefficient of v3 is 0. V₂ span R2 but do not form a basis. Find two different ways to express

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 27E
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4.4 #5

The vectors V₁ =
- 12
32
Write
1
4
0
--[-} · -·|- }··- ·· ]·
2
10
- 2
as a linear combination of V₁, V₂, V3.
12
[***]-0«+0₂
= V₁ + V₂
32
span
R² but do not form a basis. Find two different ways to express
- 12
as a linear combination of V₁, V₂, V3 when the coefficient of v3 is 0.
32
Transcribed Image Text:The vectors V₁ = - 12 32 Write 1 4 0 --[-} · -·|- }··- ·· ]· 2 10 - 2 as a linear combination of V₁, V₂, V3. 12 [***]-0«+0₂ = V₁ + V₂ 32 span R² but do not form a basis. Find two different ways to express - 12 as a linear combination of V₁, V₂, V3 when the coefficient of v3 is 0. 32
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