can you explain part d,e,f only

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 72E: Proof When V is spanned by {v1,v2,...,vk} and one of these vector can be written as a linear...
icon
Related questions
Topic Video
Question

can you explain part d,e,f only

Exercise 1. Which of the following subsets of R³ are actually subspaces?
a. The plane of vectors (b,, b2, b3) with bị = b2.
b. The plane of vectors with b, = 1.
c. The vectors with b,b>b3 = 0.
d. All linear combinations of v = (1, 4, 0) and w = (2, 2, 2).
e. All vectors that satisfy bị + b2 + bz = 0.
f. All vectors with bị < b2 < b3.
%3D
Transcribed Image Text:Exercise 1. Which of the following subsets of R³ are actually subspaces? a. The plane of vectors (b,, b2, b3) with bị = b2. b. The plane of vectors with b, = 1. c. The vectors with b,b>b3 = 0. d. All linear combinations of v = (1, 4, 0) and w = (2, 2, 2). e. All vectors that satisfy bị + b2 + bz = 0. f. All vectors with bị < b2 < b3. %3D
Expert Solution
steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Knowledge Booster
Permutation and Combination
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, advanced-math and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Elementary Linear Algebra (MindTap Course List)
Elementary Linear Algebra (MindTap Course List)
Algebra
ISBN:
9781305658004
Author:
Ron Larson
Publisher:
Cengage Learning
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Algebra and Trigonometry (MindTap Course List)
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:
9781305071742
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781305652224
Author:
Charles P. McKeague, Mark D. Turner
Publisher:
Cengage Learning