3 Let u = - 15 and A= 9 2-4 7 Is u in the plane in R³ spanned by the columns of A? Why or why not? 1 -5 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. OB. Yes, multiplying A by the vector writes u as a linear combination of the columns of A.

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter6: Linear Systems
Section6.3: Matrix Algebra
Problem 85E: Determine if the statement is true or false. If the statement is false, then correct it and make it...
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Let u =
3
-15 and A = -5
9
1
2-4
-4
7 Is u in the plane in 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.)
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.
Transcribed Image Text:Let u = 3 -15 and A = -5 9 1 2-4 -4 7 Is u in the plane in 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.) 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.
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