Let u = - 22 32 and A = 10 3-5 6 Is u in the plane in R³ spanned by the columns of A? Why or why not? 1 1 -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.) OA. 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.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.3: Spanning Sets And Linear Independence
Problem 42EQ
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Let u =
- 22
32 and A =
10
3
-2
1
-5
6
Is u in the plane in R³ spanned by the columns of A? Why or why not?
1
Select the correct choice below and fill in the answer box to complete your choice.
(Type an integer or decimal for each matrix element.)
OA. No, the reduced echelon form of the augmented matrix is which is an inconsistent system.
B. Yes, multiplying A by the vector writes u as a linear combination of the columns of A.
Transcribed Image Text:Let u = - 22 32 and A = 10 3 -2 1 -5 6 Is u in the plane in R³ spanned by the columns of A? Why or why not? 1 Select the correct choice below and fill in the answer box to complete your choice. (Type an integer or decimal for each matrix element.) OA. No, the reduced echelon form of the augmented matrix is which is an inconsistent system. B. Yes, multiplying A by the vector writes u as a linear combination of the columns of A.
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