Determine if y is in the subspace of R4 spanned by the columns of A. -5 15 -6 -9 7 -7 -8 A = 6 13 y = - 14 -8 2 -4 3 -3 -9 Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. O A. The vector y is in the subspace spanned by the columns of A because y can be written as a linear combination of these columns as follows. -5 15 - 6 -9 -8 13 7 -7 6 14 -8 2 - 4 -3 -9 (Type integers or simplified fractions.) O B. The vector y is not in the subspace spanned by the columns of A

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter4: Vector Spaces
Section4.CR: Review Exercises
Problem 73CR
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Determine if y is in the subspace of R4 spanned by the columns of A.
- 5
15 -6 -9
7 -7
-8
A =
6
13
y =
- 14 -8
2
3 -3 -9
Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice.
O A. The vector y is in the subspace spanned by the columns of A because y can be written as a linear combination of these columns as follows.
- 5
15
- 6
6-
-8
13
7
- 7
y=
- 14
- 8
2
3
- 3
6-
(Type integers or simplified fractions.)
B
The vector v is not in the subspace spanned by the columns of A
Transcribed Image Text:Determine if y is in the subspace of R4 spanned by the columns of A. - 5 15 -6 -9 7 -7 -8 A = 6 13 y = - 14 -8 2 3 -3 -9 Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. O A. The vector y is in the subspace spanned by the columns of A because y can be written as a linear combination of these columns as follows. - 5 15 - 6 6- -8 13 7 - 7 y= - 14 - 8 2 3 - 3 6- (Type integers or simplified fractions.) B The vector v is not in the subspace spanned by the columns of A
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