31. Consider the set of vectors in Mn: 3 2 7 2 9 3 4 6. S = 3 It follows that (A) S is a basis for M2 (B) S does not span M2 (C :) (C) The system of equations corresponding to a4,+*2u,+x3u, +aqu,+,U; = 0 0 for æ1, a2, 23, T4, a5 ER has only the trivial solution (D) S is linearly independent (E) S is not a basis for M2
31. Consider the set of vectors in Mn: 3 2 7 2 9 3 4 6. S = 3 It follows that (A) S is a basis for M2 (B) S does not span M2 (C :) (C) The system of equations corresponding to a4,+*2u,+x3u, +aqu,+,U; = 0 0 for æ1, a2, 23, T4, a5 ER has only the trivial solution (D) S is linearly independent (E) S is not a basis for M2
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:31. Consider the set of vectors in M2:
3
S =
2 3
It follows that
(A) S is a basis for M2
(B) S does not span M2
(C) The system of equations corresponding to æ,4 +xzu,+xzUz +a,u, +aU,
(C )
0 0
for æ1, a2, 3, X4, s E R has only the trivial solution
(D) S is linearly independent
(E) S is not a basis for M2
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