Let u ---0 and V = We want to determine if {u, v} is linearly independent. To do that we write the vectors as columns of a matrix A and row reduce that matrix. To check this we add We then add 11 ti times the first row to the second. times the first row to the third. times the new second row to the new third row. We then add We conclude that A. The set {u, v} is linearly dependent. B. The set {u, v} is linearly independent. C. We cannot tell if the set {u, v} is linearly independent or not.

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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Let u
---0
and V =
We want to determine if {u, v} is linearly independent. To do that we write the
vectors as columns of a matrix A and row reduce that matrix.
To check this we add
We then add
11
ti
times the first row to the second.
times the first row to the third.
times the new second row to the new third row.
We then add
We conclude that
A. The set {u, v} is linearly dependent.
B. The set {u, v} is linearly independent.
C. We cannot tell if the set {u, v} is linearly independent or not.
Transcribed Image Text:Let u ---0 and V = We want to determine if {u, v} is linearly independent. To do that we write the vectors as columns of a matrix A and row reduce that matrix. To check this we add We then add 11 ti times the first row to the second. times the first row to the third. times the new second row to the new third row. We then add We conclude that A. The set {u, v} is linearly dependent. B. The set {u, v} is linearly independent. C. We cannot tell if the set {u, v} is linearly independent or not.
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