2. Determine whether the following vectors are linearly dependent in R³: (O)--- ()--C) 1 , = , ez = 0 0 0 1 (a) e₁ = 0 2 ·()· · - () -- () --- () -- () 2 , V = W = (c) u = V= 2 1 1 1 -2 (b) u = (d) u = (-)--(-)--() 2 V= W = 0 6 -3 6
2. Determine whether the following vectors are linearly dependent in R³: (O)--- ()--C) 1 , = , ez = 0 0 0 1 (a) e₁ = 0 2 ·()· · - () -- () --- () -- () 2 , V = W = (c) u = V= 2 1 1 1 -2 (b) u = (d) u = (-)--(-)--() 2 V= W = 0 6 -3 6
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 27E
Related questions
Question
![2. Determine whether the following vectors are linearly dependent in R³:
(O)--- ()--C)
, =
1
, ez =
0
0
0
1
(a) e₁ = 0
2
·()· · - () -- () --- () -- ()
2 , V =
W =
(c) u =
V=
2
1
1
1
-2
(b) u =
(d) u =
(-)--(-) --- ()
2 V=
W = 0
-3
6
6](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F90b6c5fe-ad56-4eec-8b81-c32bef05c70b%2F49a6fc4d-5a6c-4a1c-927a-71d212252181%2F5mv4im_processed.jpeg&w=3840&q=75)
Transcribed Image Text:2. Determine whether the following vectors are linearly dependent in R³:
(O)--- ()--C)
, =
1
, ez =
0
0
0
1
(a) e₁ = 0
2
·()· · - () -- () --- () -- ()
2 , V =
W =
(c) u =
V=
2
1
1
1
-2
(b) u =
(d) u =
(-)--(-) --- ()
2 V=
W = 0
-3
6
6
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 3 steps with 3 images
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage