Consider the set of vectors in M: 3 2 6 S = 2 3 15 -1 2 It follows that (A) S is a basis for M (B) S does not span M2 (C :) (C) The system of equations corresponding to æu, +azu,+*3Uz +x4U,+xgU; = for æ1, a2, *3, x4, as ER has only the trivial solution (D) S is linearly independent (E) S is not a basis for M2
Consider the set of vectors in M: 3 2 6 S = 2 3 15 -1 2 It follows that (A) S is a basis for M (B) S does not span M2 (C :) (C) The system of equations corresponding to æu, +azu,+*3Uz +x4U,+xgU; = for æ1, a2, *3, x4, as 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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