Determine whether the given vectors u and v are linearly dependent or linearly independent. u= 4 0 V= 5 0 Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice. A. The vectors are linearly independent because v is a scalar multiple of u, specifically v = (Type an integer or a fraction.) u. B. The vectors are linearly independent because the only solution to the vector equation au + bv = 0 is a = b= (Type integers or fractions.) C. The vectors are linearly dependent because the only solution to the vector equation au + bv = 0 is a = b= (Type integers or fractions.) D. The vectors are linearly dependent because v is a scalar multiple of u, specifically v = (Type an integer or a fraction.) u. and and
Determine whether the given vectors u and v are linearly dependent or linearly independent. u= 4 0 V= 5 0 Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice. A. The vectors are linearly independent because v is a scalar multiple of u, specifically v = (Type an integer or a fraction.) u. B. The vectors are linearly independent because the only solution to the vector equation au + bv = 0 is a = b= (Type integers or fractions.) C. The vectors are linearly dependent because the only solution to the vector equation au + bv = 0 is a = b= (Type integers or fractions.) D. The vectors are linearly dependent because v is a scalar multiple of u, specifically v = (Type an integer or a fraction.) u. and and
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:Determine whether the given vectors u and v are linearly dependent or linearly independent.
u=
4
V=
5
0
Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice.
O A. The vectors are linearly independent because v is a scalar multiple of u, specifically v =
(Type an integer or a fraction.)
u.
B. The vectors are linearly independent because the only solution to the vector equation au + bv = 0 is a =
b=
(Type integers or fractions.)
OC. The vectors are linearly dependent because the only solution to the vector equation au + bv = 0 is a =
b=
(Type integers or fractions.)
D. The vectors are linearly dependent because v is a scalar multiple of u, specifically v= u.
(Type an integer or a fraction.)
and
and
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