Is the set S a basis for R²? If not, why? S = {(2,3)} Yes No, S does not span R² O No, S is not linearly independent Question 2 Determine the dimension of the subspace W of R¹. W = {(28-t, s, t, s)} where s and t are real numbers 01 2 A

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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Question 1
Is the set S a basis for R²? If not, why?
S = {(2,3)}
Yes
No, S does not span R²
No, S is not linearly independent
Question 2
Determine the dimension of the subspace W of R4.
W = {(2st, s, t, s)} where s and t are real numbers
2
3
Transcribed Image Text:Question 1 Is the set S a basis for R²? If not, why? S = {(2,3)} Yes No, S does not span R² No, S is not linearly independent Question 2 Determine the dimension of the subspace W of R4. W = {(2st, s, t, s)} where s and t are real numbers 2 3
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