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.)

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