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= (-1,0,7), V1= (7,6,5), v2=(6,5,3) 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 v2​, because an echelon form of the augmented matrix [v1  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
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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.

w= (-1,0,7), V1= (7,6,5), v2=(6,5,3)

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 v2​, because an echelon form of the augmented matrix [v1  v2  w]​, E=___?​, shows that the system is inconsistent.

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