Determine if the columns of the matrix span R4. -7-2 50 -8 5 3 -4 9 6 -21 28 10-2 7 27 6 45 Select the correct choice below and fill in the answer box to complete your choice. A. The columns do not span R4 because none of the columns of A are linear combinations of the other columns of A. B. The columns R4 span because at least of the columns of A is a linear combination of the other columns of A. C. The columns do not span R4 because the reduced echelon form of the augmented matrix is not have a pivot in every row. (Type an exact answer for each matrix element.) D. The columns span R4 because the reduced echelon form of the augmented matrix is every row. (Type an exact answer for each matrix element.) which does which has a pivot in

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter7: Matrices And Determinants
Section7.1: Matrices And Systems Of Equations
Problem 1ECP: Determine the dimension of the matrix 14710238.
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Question
Determine if the columns of the matrix span
R4.
-7-2
50
-8
5
3 -4
9
6
-21
28
10-2
7
27 6 45
Select the correct choice below and fill in the answer box to complete your choice.
A. The columns do not span R4 because none of the columns of A are linear combinations of the other columns of
A.
B. The columns R4
span because at least of the columns of A is a linear combination of the other columns of A.
C. The columns do not span R4 because the reduced echelon form of the augmented matrix is
not have a pivot in every row.
(Type an exact answer for each matrix element.)
D. The columns span R4 because the reduced echelon form of the augmented matrix is
every row.
(Type an exact answer for each matrix element.)
which does
which has a pivot in
Transcribed Image Text:Determine if the columns of the matrix span R4. -7-2 50 -8 5 3 -4 9 6 -21 28 10-2 7 27 6 45 Select the correct choice below and fill in the answer box to complete your choice. A. The columns do not span R4 because none of the columns of A are linear combinations of the other columns of A. B. The columns R4 span because at least of the columns of A is a linear combination of the other columns of A. C. The columns do not span R4 because the reduced echelon form of the augmented matrix is not have a pivot in every row. (Type an exact answer for each matrix element.) D. The columns span R4 because the reduced echelon form of the augmented matrix is every row. (Type an exact answer for each matrix element.) which does which has a pivot in
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