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. 0 HHH! 0 -2 -9 3 W = Select the correct answer below, and fill in the answer box(es) to complete your choice. OA. It is possible to express the vector w in terms of v₁ and v₂, as w= (v₁ + (Type integers or fractions.) V₂. OB. It is impossible to express the vector w in terms of v₁ and v₂, because an echelon form of the augmented matrix [V₁ V₂ W], E= (Type an integer or simplified fraction for each matrix element.) shows that the system is inconsistent.
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. 0 HHH! 0 -2 -9 3 W = Select the correct answer below, and fill in the answer box(es) to complete your choice. OA. It is possible to express the vector w in terms of v₁ and v₂, as w= (v₁ + (Type integers or fractions.) V₂. OB. It is impossible to express the vector w in terms of v₁ and v₂, because an echelon form of the augmented matrix [V₁ V₂ W], E= (Type an integer or simplified fraction for each matrix element.) shows that the system is inconsistent.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
![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.
W =
-7
- 9
- 2
3
5
8
-4
- 3
Select the correct answer below, and fill in the answer box(es) to complete your choice.
) v₁ + ( ) v₂.
A.
It is possible to express the vector w in terms of v₁ and v₂, as w=
(Type integers or fractions.)
B. It is impossible to express the vector w in terms of V₁ and V₂, because an echelon form of the augmented matrix [V₁ V₂ W], E=
(Type an integer or simplified fraction for each matrix element.)
shows that the system is inconsistent.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F918808b3-3bab-4c24-a49a-fe439aaeecc0%2Ffc54349d-c4dc-46c5-b5a5-024839b14a0e%2Fjhzjm3_processed.png&w=3840&q=75)
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.
W =
-7
- 9
- 2
3
5
8
-4
- 3
Select the correct answer below, and fill in the answer box(es) to complete your choice.
) v₁ + ( ) v₂.
A.
It is possible to express the vector w in terms of v₁ and v₂, as w=
(Type integers or fractions.)
B. It is impossible to express the vector w in terms of V₁ and V₂, because an echelon form of the augmented matrix [V₁ V₂ W], E=
(Type an integer or simplified fraction for each matrix element.)
shows that the system is inconsistent.
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