Express the indicated vector w as a linear combination of the given vectors v, and v, if this is possible. If not, show that it is impossible. Select the correct answer below, and fill in the answer box(es) complete your choice. O A. It is possible to express the vector w in terms of v, and v2, as w = (Dv, + (Ov2- (Type integers or fractions.) O B. It is impossible to express the vector w in terms of v, and v2, because an echelon form of the augmented matrix [v, v, w], E= shows that the system is inconsistent. (Type an integer or simplified fraction for each matrix element.)
Express the indicated vector w as a linear combination of the given vectors v, and v, if this is possible. If not, show that it is impossible. Select the correct answer below, and fill in the answer box(es) complete your choice. O A. It is possible to express the vector w in terms of v, and v2, as w = (Dv, + (Ov2- (Type integers or fractions.) O B. It is impossible to express the vector w in terms of v, and v2, because an echelon form of the augmented matrix [v, v, w], E= shows that the system is inconsistent. (Type an integer or simplified fraction for each matrix element.)
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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Question
![Express the indicated vector w as a linear combination of the given vectors v, and v, if this is possible. If not, show that it is impossible.
4
9
V2
- 6
w =
V1
- 4
2
4
2
Select the correct answer below, and fill in the answer box(es) to complete your choice.
(Ov2.
A.
It is possible to express the vector w in terms of v,
and v2, as w =
V, +
(Type integers or fractions.)
O B. It is impossible to express the vector w in terms of v, and v,, because an echelon form of the augmented matrix [v, v, w], E =
shows that the system is inconsistent.
(Type an integer or simplified fraction for each matrix element.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5d816dad-b112-4495-8c7b-69568a32f313%2Fc1f38ed0-6896-4f80-a085-320bcd8d4106%2Futr94v_processed.png&w=3840&q=75)
Transcribed Image Text:Express the indicated vector w as a linear combination of the given vectors v, and v, if this is possible. If not, show that it is impossible.
4
9
V2
- 6
w =
V1
- 4
2
4
2
Select the correct answer below, and fill in the answer box(es) to complete your choice.
(Ov2.
A.
It is possible to express the vector w in terms of v,
and v2, as w =
V, +
(Type integers or fractions.)
O B. It is impossible to express the vector w in terms of v, and v,, because an echelon form of the augmented matrix [v, v, w], E =
shows that the system is inconsistent.
(Type an integer or simplified fraction for each matrix element.)
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