Let u= - 3 571] 6 and A 2 1 4. Is u in the subset of R³ spanned by the columns of A? Why or why not? 5 325 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. Yes, multiplying A by the vector writes u as a linear combination of the columns of A. O B. No, the reduced echelon form of the augmented matrix is, which is an inconsistent system.

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter5: Inner Product Spaces
Section5.CM: Cumulative Review
Problem 3CM: Take this test to review the material in Chapters 4 and 5. After you are finished, check your work...
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Let u =
5 7 1
- 3
6 and A 214
5
325
Is u in the subset of R³ spanned by the columns of A? Why or why not?
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.
O B. No, the reduced echelon form of the augmented matrix is
which is an inconsistent system.
Transcribed Image Text:Let u = 5 7 1 - 3 6 and A 214 5 325 Is u in the subset of R³ spanned by the columns of A? Why or why not? 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. O B. No, the reduced echelon form of the augmented matrix is which is an inconsistent system.
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