Express the indicated vector was a linear combination of the given vectors V₁ and V2 if this is possible. If not, show that it is impossible. 5 1 6 W = 4 V1 7 V2 9 4 -3 -7 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 = (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 = , shows that the system is inconsistent. (Type an integer or simplified fraction for each matrix element.)
Express the indicated vector was a linear combination of the given vectors V₁ and V2 if this is possible. If not, show that it is impossible. 5 1 6 W = 4 V1 7 V2 9 4 -3 -7 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 = (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 = , shows that the system is inconsistent. (Type an integer or simplified fraction for each matrix element.)
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.6: The Algebra Of Matrices
Problem 22E
Related questions
Question
![Express the indicated vector was a linear combination of the given
vectors V₁ and V2 if this is possible. If not, show that it is impossible.
5
1
6
W =
4
V1
7
V2
9
4
-3
-7
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 =
(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 = , 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%2F1ae1bb18-ef65-433d-a0dc-aafdea4542d4%2F288f1e20-1270-4cca-9b24-87fb99133e02%2F917mltl_processed.png&w=3840&q=75)
Transcribed Image Text:Express the indicated vector was a linear combination of the given
vectors V₁ and V2 if this is possible. If not, show that it is impossible.
5
1
6
W =
4
V1
7
V2
9
4
-3
-7
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 =
(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 = , shows that the system is inconsistent.
(Type an integer or simplified fraction for each matrix element.)
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