2. Determine whether the set S = {(2, 0, 1), (2, -1, 1), (4, 2, 0), (-6, 2, 3)} a. Spans R3 b. Is linearly independent Is a basis for R³ C.

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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Question
2
1. Determine whether the set S = {2x²
- 14x + 34, 3x – 4, x² + 5x + 1} is linearly independent
or dependent. If it is linearly dependent, show how to write one polynomial in terms of the
others.
2. Determine whether the set S = {(2, 0, 1), (2, -1, 1), (4, 2, 0), (-6, 2, 3)}
a. Spans R3
b. Is linearly independent
Is a basis for R³
C.
Transcribed Image Text:1. Determine whether the set S = {2x² - 14x + 34, 3x – 4, x² + 5x + 1} is linearly independent or dependent. If it is linearly dependent, show how to write one polynomial in terms of the others. 2. Determine whether the set S = {(2, 0, 1), (2, -1, 1), (4, 2, 0), (-6, 2, 3)} a. Spans R3 b. Is linearly independent Is a basis for R³ C.
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