Wich of the following statements are true? Select ain true statements! Only select true statements! (a) Any linearly independent set that has the same number of elements as the dimension of the space is a basis. (b) The set {(1.0, 1). (0, 1, 0). (1, 1, 1). (4, 4, 4)} spans R³. (c) P, has a linearly independent subset with 5 elements. (d) Any subset that spans a vector space V must have at least dim(V) many elements. (e) For v; e V if £-, \;V; E- Hiv; then A; = li for all i = 1, ..., n. Li=1 Li=1 (a) C (b) a (c) d)

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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Wich of the following statements are true?
Select ain true statements!
Only select true statements!
(a) Any linearly independent set that has the same number of elements as the dimension of the space
is a basis.
(b) The set {(1.0, 1). (0, 1, 0). (1, 1, 1). (4, 4, 4)} spans R³.
(c) P, has a linearly independent subset with 5 elements.
(d) Any subset that spans a vector space V must have at least dim(V) many elements.
(e) For v; e V if £-, \;V;
E- Hiv; then A;
= li for all i = 1, ..., n.
Li=1
Li=1
(a)
C (b)
a (c)
d)
Transcribed Image Text:Wich of the following statements are true? Select ain true statements! Only select true statements! (a) Any linearly independent set that has the same number of elements as the dimension of the space is a basis. (b) The set {(1.0, 1). (0, 1, 0). (1, 1, 1). (4, 4, 4)} spans R³. (c) P, has a linearly independent subset with 5 elements. (d) Any subset that spans a vector space V must have at least dim(V) many elements. (e) For v; e V if £-, \;V; E- Hiv; then A; = li for all i = 1, ..., n. Li=1 Li=1 (a) C (b) a (c) d)
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