1. Let vi = (1, 2, 3), v2 = (2, 4, 5), and v3 = (2, 4, 6) e R³. Is each of the following statements correct or incorrect? Explain. a. The set {v1, V2, V3} is linearly dependent. b. Each of the vectors v1, V2, and v3 can be written as a linear combination of the others.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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linear algebra 3.3 Q1

Exercises 3.3
1. Let vị = (1, 2, 3), v2 = (2, 4, 5), and v3 =
statements correct or incorrect? Explain.
a. The set {v1, V2, V3} is linearly dependent.
(2, 4, 6) e R³. Is each of the following
b. Each of the vectors v1, V2, and v3 can be written as a linear combination of the
others.
Transcribed Image Text:Exercises 3.3 1. Let vị = (1, 2, 3), v2 = (2, 4, 5), and v3 = statements correct or incorrect? Explain. a. The set {v1, V2, V3} is linearly dependent. (2, 4, 6) e R³. Is each of the following b. Each of the vectors v1, V2, and v3 can be written as a linear combination of the others.
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