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. 5 1 4 w = -4 V = V2 = 6- 8 - 3 Select the correct answer below, and fill in the answer box(es) to complete your choice. O A. It is possible to express the vector w in terms of v, and v2, as w= V2. %3D V1 (Type integers or fractions.) В. It is impossible to express the vector w in terms of v, and v2, because an echelon form of the augmented matrix [v, v2 w], E= is inconsistent. (Type an integer or simplified fraction for each matrix element.) shows that the system

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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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.
5
1
4
w =
-4
V =
V2 =
-9
8
- 3
Select the correct answer below, and fill in the answer box(es) to complete your choice.
O A. It is possible to express the vector w in terms of v, and v,, as w =
V1
V2.
(Type integers or fractions.)
В.
It is impossible to express the vector w in terms of v, and v2, because an echelon form of the augmented matrix [v, v2 w], E=
is inconsistent.
(Type an integer or simplified fraction for each matrix element.)
shows that the system
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. 5 1 4 w = -4 V = V2 = -9 8 - 3 Select the correct answer below, and fill in the answer box(es) to complete your choice. O A. It is possible to express the vector w in terms of v, and v,, as w = V1 V2. (Type integers or fractions.) В. It is impossible to express the vector w in terms of v, and v2, because an echelon form of the augmented matrix [v, v2 w], E= is inconsistent. (Type an integer or simplified fraction for each matrix element.) shows that the system
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