Let u = - 17 58 4 -8 and A = 02-4 -3 Is u in the subset of R³ spanned by the columns of A? Why or why not? 1 2 0 Select the correct choice below and fill in the answer box to complete your choice. (Type an integer or decimal for each matrix element.) ○ A. Yes, multiplying A by the vector | writes u as a linear combination of the columns of A. B. No, the reduced echelon form of the augmented matrix is , which is an inconsistent system.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Let u =
- 17
58 4
-8 and A = 02-4
-3
Is u in the subset of R³ spanned by the columns of A? Why or why not?
1 2
0
Select the correct choice below and fill in the answer box to complete your choice.
(Type an integer or decimal for each matrix element.)
○ A. Yes, multiplying A by the vector |
writes u as a linear combination of the columns of A.
B. No, the reduced echelon form of the augmented matrix is
, which is an inconsistent system.
Transcribed Image Text:Let u = - 17 58 4 -8 and A = 02-4 -3 Is u in the subset of R³ spanned by the columns of A? Why or why not? 1 2 0 Select the correct choice below and fill in the answer box to complete your choice. (Type an integer or decimal for each matrix element.) ○ A. Yes, multiplying A by the vector | writes u as a linear combination of the columns of A. B. No, the reduced echelon form of the augmented matrix is , which is an inconsistent system.
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