Let u = - 11 -8 -5 59 2 and A 0 2 -4 . Is u in the subset of R³ spanned by the columns of A? Why or why not? 1 3 -2 Select the correct choice below and fill in the answer box to complete your choice. (Type an integer or decimal for each matrix element.) O 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
Problem 1RQ
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Let u =
- 11
- 8
-5
and A =
59 2
02
-4
Is u in the subset of R³ spanned by the columns of A? Why or why not?
1 3
-2
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 = - 11 - 8 -5 and A = 59 2 02 -4 Is u in the subset of R³ spanned by the columns of A? Why or why not? 1 3 -2 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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