1. The Set of polynomials of degree ≤ 5 is a vector space. a. True b. False 2. If S = {a, b, c..., v} be a finite set of at least 2 vectors in a vector space V. S is linearly independent if no vector in S can be expressed as linear combination of the other vectors. a. True b. False 3. The set of vectors {(a, b) ER: b = 3a + 1} a. True b. False
1. The Set of polynomials of degree ≤ 5 is a vector space. a. True b. False 2. If S = {a, b, c..., v} be a finite set of at least 2 vectors in a vector space V. S is linearly independent if no vector in S can be expressed as linear combination of the other vectors. a. True b. False 3. The set of vectors {(a, b) ER: b = 3a + 1} a. True b. False
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Please answer 1 to 3
Transcribed Image Text:1. The Set of polynomials of degree ≤ 5 is a vector space.
a. True
b. False
2. If S = {a, b, c..., v} be a finite set of at least 2 vectors in a vector space V. S is linearly independent
if no vector in S can be expressed as linear combination of the other vectors.
a. True
b. False
3. The set of vectors {(a, b) ER: b = 3a + 1}
a. True
b. False
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