Let u = 8 -] 1 and v = 88 x - 1 1 c 8 H 1 Show that [] C is in Span {u, v} for all x and c. How is a system determined as consistent? O A. Solve for the variables after setting the equations equal to 0. B. A system is consistent if there are no solutions. OC. A system is consistent only if all of the variables equal each other. D. A system is consistent if there is one solution or infinitely many solutions. Row reduce the augmented matrix to its reduced echelon form.

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
Let u =
8
4
1
and v =
88 x
- 1 1 c
8
[1]
X
[3]
C
Show that
is in Span {u, v} for all x and c.
How is a system determined as consistent?
O A. Solve for the variables after setting the equations equal to 0.
B. A system is consistent if there are no solutions.
OC. A system is consistent only if all of the variables equal each other.
D. A system is consistent if there is one solution or infinitely many solutions.
Row reduce the augmented matrix to its reduced echelon form.
Transcribed Image Text:Let u = 8 4 1 and v = 88 x - 1 1 c 8 [1] X [3] C Show that is in Span {u, v} for all x and c. How is a system determined as consistent? O A. Solve for the variables after setting the equations equal to 0. B. A system is consistent if there are no solutions. OC. A system is consistent only if all of the variables equal each other. D. A system is consistent if there is one solution or infinitely many solutions. Row reduce the augmented matrix to its reduced echelon form.
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