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. 1 w= 25, V₁ = HHAHA 6.V₂= 26 -3 7 7 -2 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 v, and v₂, as w= (Type integers or fractions.) V₂. B OB. It is impossible to express the vector w in terms of v₁ and v₂, because an echelon form of the augmented matrix (Type an integer or simplified fraction for each matrix element.) V₂ W. E= 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. 1 w= 25, V₁ = HHAHA 6.V₂= 26 -3 7 7 -2 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 v, and v₂, as w= (Type integers or fractions.) V₂. B OB. It is impossible to express the vector w in terms of v₁ and v₂, because an echelon form of the augmented matrix (Type an integer or simplified fraction for each matrix element.) V₂ W. E= 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
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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 = 25, V₁ =
2
1
6
-3
V₂ =
7
26
-2
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 + v₂.
(Type integers or fractions.)
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=| 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%2F2e5caa4f-70a5-4e9b-9cd4-231b34f6cd3f%2F0133f025-c552-4109-8d1a-a360e8c0f886%2F6oe0949_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 = 25, V₁ =
2
1
6
-3
V₂ =
7
26
-2
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 + v₂.
(Type integers or fractions.)
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=| shows that the system is inconsistent.
(Type an integer or simplified fraction for each matrix element.)
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