-15 6 -10 -10-25 We want to determine if the columns of A span R³. Let A = -3 2 -1 To check this we add We then add We then add We conclude that -3 -14 times the first row to the second. times the first row to the third. times the new second row to the new third row. OA. The columns of A do span R³ OB. The columns of A do not span R³. OC. We cannot tell if the columns of A span R³

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 A =
-3 -15
2
-1
مل ،
6 -14
-10-25
We want to determine if the columns of A span
R³
To check this we add
We then add
We then add
We conclude that
times the first row to the second.
times the first row to the third.
times the new second row to the new third row.
OA. The columns of A do span R³.
OB. The columns of A do not span R³.
Oc. We cannot tell if the columns of A span R³.
Transcribed Image Text:Let A = -3 -15 2 -1 مل ، 6 -14 -10-25 We want to determine if the columns of A span R³ To check this we add We then add We then add We conclude that times the first row to the second. times the first row to the third. times the new second row to the new third row. OA. The columns of A do span R³. OB. The columns of A do not span R³. Oc. We cannot tell if the columns of A span R³.
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