Let fi = 1+2x+ 3x², f2 = 1+ 3x + 5æ². %3D Let g1 = 2+3x + 4x², 4x2. 92 = 3 + 2x +2x?, 93 = 1+4x + 7x? For which g; , i = 1, 2, 3 does (f1, f2, gi) span R2[x]? O Only g1 . O For every gi, i = 1, 2, 3. (f1, f2, 9i) spans R2 [x]. O For no i does(f1, f2, gi) span R2 [x). O Only g3. O Only 92.
Let fi = 1+2x+ 3x², f2 = 1+ 3x + 5æ². %3D Let g1 = 2+3x + 4x², 4x2. 92 = 3 + 2x +2x?, 93 = 1+4x + 7x? For which g; , i = 1, 2, 3 does (f1, f2, gi) span R2[x]? O Only g1 . O For every gi, i = 1, 2, 3. (f1, f2, 9i) spans R2 [x]. O For no i does(f1, f2, gi) span R2 [x). O Only g3. O Only 92.
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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![Let fi = 1+2x+ 3x², f2 = 1+ 3x + 5æ².
%3D
Let g1 = 2+ 3x + 4x2, 92 = 3+ 2x + 2x2, g3 = 1+ 4x + 7x² .
For which g; , i = 1, 2, 3 does (f1, f2, gi) span R2[x]?
O Only g1 .
O For every gi, i = 1, 2, 3. (f1, f2, 9i) spans R2 [x].
O For no i does(f1, f2, gi) span R2 [x).
Only 93.
O Only 92.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F243ed58e-929c-48ae-9edb-bf7ca2d315d9%2F3cf3a45d-991b-42ee-97b5-4905c2793043%2F7dwgyh_processed.png&w=3840&q=75)
Transcribed Image Text:Let fi = 1+2x+ 3x², f2 = 1+ 3x + 5æ².
%3D
Let g1 = 2+ 3x + 4x2, 92 = 3+ 2x + 2x2, g3 = 1+ 4x + 7x² .
For which g; , i = 1, 2, 3 does (f1, f2, gi) span R2[x]?
O Only g1 .
O For every gi, i = 1, 2, 3. (f1, f2, 9i) spans R2 [x].
O For no i does(f1, f2, gi) span R2 [x).
Only 93.
O Only 92.
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