Find four vectors v1, v2, V3, v4 in R such that 1. no two are collinear (in particular, none of the vectors is zero) 2. the set {v1, v2, V3, V4} is linearly dependent, and 3. v4 is not in Span{v1, v2, v3}. 1 1 1 1 1 1 U3 = V4 1 1 9.
Find four vectors v1, v2, V3, v4 in R such that 1. no two are collinear (in particular, none of the vectors is zero) 2. the set {v1, v2, V3, V4} is linearly dependent, and 3. v4 is not in Span{v1, v2, v3}. 1 1 1 1 1 1 U3 = V4 1 1 9.
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter4: Vector Spaces
Section4.4: Spanning Sets And Linear Independence
Problem 74E: Let u, v, and w be any three vectors from a vector space V. Determine whether the set of vectors...
Related questions
Question
MY answer was wrong. Please help! Thank you!
![Find four vectors v1, v2, V3, v4 in R* such that
1. no two are collinear (in particular, none of the vectors is zero)
2. the set {v1, v2, V3, V4} is linearly dependent, and
3. v4 is not in Span{v1, v2, v3}.
1
1
1
1
1
1
V3 =
V4 =
1
1
9](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8a1ff5b0-6d62-4156-84f4-ecc9607dcad9%2Fb0f51ad5-0771-41f5-9629-1565e8d651c8%2Fs9bz6mq_processed.png&w=3840&q=75)
Transcribed Image Text:Find four vectors v1, v2, V3, v4 in R* such that
1. no two are collinear (in particular, none of the vectors is zero)
2. the set {v1, v2, V3, V4} is linearly dependent, and
3. v4 is not in Span{v1, v2, v3}.
1
1
1
1
1
1
V3 =
V4 =
1
1
9
![Find four vectors v1, v2, V3, v4 in R* such that
1. no two are collinear (in particular, none of the vectors is zero)
2. the set {v1, v2, V3, V4} is linearly dependent, and
3. v4 is not in Span{v1, v2, v3}.
1
1
1
1
1
1
V3 =
V4 =
1
1
9](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8a1ff5b0-6d62-4156-84f4-ecc9607dcad9%2Fb0f51ad5-0771-41f5-9629-1565e8d651c8%2F4dj2fib_processed.png&w=3840&q=75)
Transcribed Image Text:Find four vectors v1, v2, V3, v4 in R* such that
1. no two are collinear (in particular, none of the vectors is zero)
2. the set {v1, v2, V3, V4} is linearly dependent, and
3. v4 is not in Span{v1, v2, v3}.
1
1
1
1
1
1
V3 =
V4 =
1
1
9
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
Step 1
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 2 images
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
Recommended textbooks for you
![Elementary Linear Algebra (MindTap Course List)](https://www.bartleby.com/isbn_cover_images/9781305658004/9781305658004_smallCoverImage.gif)
Elementary Linear Algebra (MindTap Course List)
Algebra
ISBN:
9781305658004
Author:
Ron Larson
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
![Linear Algebra: A Modern Introduction](https://www.bartleby.com/isbn_cover_images/9781285463247/9781285463247_smallCoverImage.gif)
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
![Elementary Linear Algebra (MindTap Course List)](https://www.bartleby.com/isbn_cover_images/9781305658004/9781305658004_smallCoverImage.gif)
Elementary Linear Algebra (MindTap Course List)
Algebra
ISBN:
9781305658004
Author:
Ron Larson
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
![Linear Algebra: A Modern Introduction](https://www.bartleby.com/isbn_cover_images/9781285463247/9781285463247_smallCoverImage.gif)
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning