4 as a linear combination of v,, V2, V3 when the coefficient of v3 is 1. 14 Write -4 Ov, + - (OV2+v3 14

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.6: The Algebra Of Matrices
Problem 13E
icon
Related questions
Question
4
R?
but do not form a basis. Find two different ways to express
4
as a linear combination of v,, V2, V3.
14
The vectors
span
- 2
- 11
- 4
as a linear combination of V,, V,, V3 when the coefficient of v, is 0.
14
Write
4
(4 ) v, + ( - 2) v2
14
- 4
as a linear combination of v4, V2, V3 when the coefficient of v, is 1.
14
Write
4
= Ov, + (Ov2+ V3
14
Transcribed Image Text:4 R? but do not form a basis. Find two different ways to express 4 as a linear combination of v,, V2, V3. 14 The vectors span - 2 - 11 - 4 as a linear combination of V,, V,, V3 when the coefficient of v, is 0. 14 Write 4 (4 ) v, + ( - 2) v2 14 - 4 as a linear combination of v4, V2, V3 when the coefficient of v, is 1. 14 Write 4 = Ov, + (Ov2+ V3 14
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Elementary Linear Algebra (MindTap Course List)
Elementary Linear Algebra (MindTap Course List)
Algebra
ISBN:
9781305658004
Author:
Ron Larson
Publisher:
Cengage Learning
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning