Can each vector in R4 be written as a linear combination of the columns of the matrix A? Do the columns of A span R4? A= 1 3 -2 13 -1 -1 -1-3 -6 0 -15 12 0 2 -3 15 Can each vector in Rª be written as a linear combination of the columns of the matrix A? 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, because the reduced echelon form of A is OB. No, because the reduced echelon form of A is Do the columns of A span R¹? OA. Yes, because all b in R™ can be written as a linear combination of the columns of A. OB. No, because not all b in Rm can be written as a linear combination of the columns of A. OC. Yes, because A does not have a pivot position in every row. OD. No, because A has a pivot position in every row.
Can each vector in R4 be written as a linear combination of the columns of the matrix A? Do the columns of A span R4? A= 1 3 -2 13 -1 -1 -1-3 -6 0 -15 12 0 2 -3 15 Can each vector in Rª be written as a linear combination of the columns of the matrix A? 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, because the reduced echelon form of A is OB. No, because the reduced echelon form of A is Do the columns of A span R¹? OA. Yes, because all b in R™ can be written as a linear combination of the columns of A. OB. No, because not all b in Rm can be written as a linear combination of the columns of A. OC. Yes, because A does not have a pivot position in every row. OD. No, because A has a pivot position in every row.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:Can each vector in R4 be written as a linear combination of the columns of the matrix A? Do the columns of A span R¹?
A=
1
- 1
- 6
0
3 -2 13
-1 -1 -3
015 12
2 - 3 15
Can each vector in R4 be written as a linear combination of the columns of the matrix A? 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, because the reduced echelon form of A is
OB. No, because the reduced echelon form of A is
Do the columns of A span R¹?
O A. Yes, because all b in Rm can be written as a linear combination of the columns of A.
OB. No, because not all b in Rm can be written as a linear combination of the columns of A.
O C. Yes, because A does not have a pivot position in every row.
OD. No, because A has a pivot position in every row.
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