Express the indicated vector w as a linear combination of the given vectors v₁ and v₂ if this is possible. If not, show that it is impossible. - 38 7 2 W = 0 2 V₂ = 6 - 12 5 9 Select the correct answer below, and fill in the answer box(es) to complete your choice. ⒸA. It is possible to express the vector w in terms of v₁ and v₂, as w= V₁ + V₂. (Type integers or fractions.) B. It is impossible to express the vector w in terms of v₁ and V2₂, because an echelon form of the augmented matrix [V₁ V₂ W], E E= , shows that the system is inconsistent. (Type an integer or simplified fraction for each matrix element.) V₁ =

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 v₁ and v₂ if this is possible. If not, show that it
is impossible.
- 38
7
2
W =
0
2
V₂ =
6
- 12
5
9
Select the correct answer below, and fill in the answer box(es) to complete your choice.
ⒸA. It is possible to express the vector w in terms of v₁ and v₂, as w=
V₁ +
V₂.
(Type integers or fractions.)
B. It is impossible to express the vector w in terms of v₁ and V2₂, because an echelon form of the augmented matrix
[V₁ V₂ W], E
E= , shows that the system is inconsistent.
(Type an integer or simplified fraction for each matrix element.)
V₁ =
Transcribed Image Text:Express the indicated vector w as a linear combination of the given vectors v₁ and v₂ if this is possible. If not, show that it is impossible. - 38 7 2 W = 0 2 V₂ = 6 - 12 5 9 Select the correct answer below, and fill in the answer box(es) to complete your choice. ⒸA. It is possible to express the vector w in terms of v₁ and v₂, as w= V₁ + V₂. (Type integers or fractions.) B. It is impossible to express the vector w in terms of v₁ and V2₂, because an echelon form of the augmented matrix [V₁ V₂ W], E E= , shows that the system is inconsistent. (Type an integer or simplified fraction for each matrix element.) V₁ =
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