Which of the following functions (a) sin cos 0, (c) sin20 (d) 2 cos² 0 - 1, 2' belong to the complex vector space T(1) Span{ 1, ei, e-i}. = (b) 4 cos 0 - 2i sin 0,
Which of the following functions (a) sin cos 0, (c) sin20 (d) 2 cos² 0 - 1, 2' belong to the complex vector space T(1) Span{ 1, ei, e-i}. = (b) 4 cos 0 - 2i sin 0,
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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Answer the given question with a proper explanation and step-by-step solution.
![Which of the following functions
(a) sin cos 0,
(c) sin20
(d) 2 cos² 0-1,
2'
belong to the complex vector space
T(1)
Span{ 1, ei, e-i}.
=
(b) 4 cos 0 - 2i sin 0,](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0b1c1217-3ca9-48af-b155-11a2efe4ee10%2F111c2dd7-14e7-4436-8b4d-8a7e48d75334%2Fq31lkiu_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Which of the following functions
(a) sin cos 0,
(c) sin20
(d) 2 cos² 0-1,
2'
belong to the complex vector space
T(1)
Span{ 1, ei, e-i}.
=
(b) 4 cos 0 - 2i sin 0,
![1. only (b), and (c),
2. only (b), (c), and (d),
3. only (a), and (c),
X 4. only (c),
5. only (a), and (d),](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0b1c1217-3ca9-48af-b155-11a2efe4ee10%2F111c2dd7-14e7-4436-8b4d-8a7e48d75334%2Fardz1c8_processed.jpeg&w=3840&q=75)
Transcribed Image Text:1. only (b), and (c),
2. only (b), (c), and (d),
3. only (a), and (c),
X 4. only (c),
5. only (a), and (d),
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