Let u = -7 59 -3 FA -2 and A= 1 2 -1. Is u in the subset of R³ spanned by the columns of A? Why or why not? 3 7 21 4 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. No, the reduced echelon form of the augmented matrix is, which is an inconsistent system. OB. Yes, multiplying A by the vector writes u as a linear combination of the columns of A.

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 =
-7
59 -3
FA
-2 and A= 1 2 -1. Is u in the subset of R³ spanned by the columns of A? Why or why not?
3
7
21
4
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. No, the reduced echelon form of the augmented matrix is, which is an inconsistent system.
OB. Yes, multiplying A by the vector writes u as a linear combination of the columns of A.
Transcribed Image Text:Let u = -7 59 -3 FA -2 and A= 1 2 -1. Is u in the subset of R³ spanned by the columns of A? Why or why not? 3 7 21 4 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. No, the reduced echelon form of the augmented matrix is, which is an inconsistent system. OB. Yes, multiplying A by the vector writes u as a linear combination of the columns of A.
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Step 1: Converting into row reduced echleon form

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