8. Let Which of the following statements about S is NOT true? (A) S is a basis of the vector space C(R). (B) S is a spanning set of the vector space P100 (R). (C) S is a basis of P100 (R). (D) S linearly independent. 9. Which of the following vector sets is NOT a basis of the vector space R¹? 40000} {0000} 0000} -0000} -1 (A) (B) (C) (D) A = B = C= S = {1, x, x², x³,...,x100} D=
8. Let Which of the following statements about S is NOT true? (A) S is a basis of the vector space C(R). (B) S is a spanning set of the vector space P100 (R). (C) S is a basis of P100 (R). (D) S linearly independent. 9. Which of the following vector sets is NOT a basis of the vector space R¹? 40000} {0000} 0000} -0000} -1 (A) (B) (C) (D) A = B = C= S = {1, x, x², x³,...,x100} D=
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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Transcribed Image Text:8. Let
Which of the following statements about S is NOT true?
(A) S is a basis of the vector space C(R).
(B) S is a spanning set of the vector space P100(R).
(C) S is a basis of P100 (R).
(D) S linearly independent.
9. Which of the following vector sets is NOT a basis of the vector space R¹?
{0)·(4) ( D(0)}
-{0·0·00)}
-{0000}
-0000}
(A)
(B)
(C)
(D)
A =
B =
C =
S = {1, x, x², x³,...,x¹00}
D=
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