Determine if the columns of the matrix span R4. -14 -4 10-28 15 9 -12 39 18 30 -6 45 7 - 9 -2 -7 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 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.) C. 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 D. The columns span R4 because at least of the columns of A is a linear combination of the other columns of A.

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Determine if the columns of the matrix span R4.
-14
-4
10-28
15 9 -12 39
18 30 -6 45
7
- 9 -2 -7
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 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.)
C. 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
D. The columns span R4 because at least of the columns of A is a linear combination of the other columns of A.
Transcribed Image Text:Determine if the columns of the matrix span R4. -14 -4 10-28 15 9 -12 39 18 30 -6 45 7 - 9 -2 -7 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 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.) C. 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 D. The columns span R4 because at least of the columns of A is a linear combination of the other columns of A.
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