Determine if the columns of the matrix form a linearly independent set. Justify your answer. Select the correct choice below and fill in the answer box within your choice. (Type an integer or simplified fraction for each matrix element.) -2 -1 0-1 O B. If A is the given matrix, then the augmented matrix form of this matrix indicates that Ax = 0 has more than linearly independent set. 1 2 1 1 O 5 - 10 - 20 A. If A is the given matrix, then the augmented matrix represents the equation Ax = 0. The reduced echelon form of this matrix indicates that Ax=0 has only the trivial solution. Therefore, the columns of A form a linearly independent set. represents the equation Ax = 0. The reduced echelon one solution. Therefore, the columns of A form a O C. IfA is the given matrix, then the augmented matrix represents the equation Ax = 0. The reduced echelon form of this matrix indicates that Ax = 0 has only the trivial solution. Therefore, the columns of A do not form a linearly independent set. OD. If A is the given matrix, then the augmented matrix represents the equation Ax = 0. The reduced echelon form of this matrix indicates that Ax = 0 has more than one solution. Therefore, the columns of A do not form a linearly independent set.
Determine if the columns of the matrix form a linearly independent set. Justify your answer. Select the correct choice below and fill in the answer box within your choice. (Type an integer or simplified fraction for each matrix element.) -2 -1 0-1 O B. If A is the given matrix, then the augmented matrix form of this matrix indicates that Ax = 0 has more than linearly independent set. 1 2 1 1 O 5 - 10 - 20 A. If A is the given matrix, then the augmented matrix represents the equation Ax = 0. The reduced echelon form of this matrix indicates that Ax=0 has only the trivial solution. Therefore, the columns of A form a linearly independent set. represents the equation Ax = 0. The reduced echelon one solution. Therefore, the columns of A form a O C. IfA is the given matrix, then the augmented matrix represents the equation Ax = 0. The reduced echelon form of this matrix indicates that Ax = 0 has only the trivial solution. Therefore, the columns of A do not form a linearly independent set. OD. If A is the given matrix, then the augmented matrix represents the equation Ax = 0. The reduced echelon form of this matrix indicates that Ax = 0 has more than one solution. Therefore, the columns of A do not form a linearly independent set.
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:Determine if the columns of the matrix form a linearly independent set.
Justify your answer.
Select the correct choice below and fill in the answer box within your choice.
(Type an integer or simplified fraction for each matrix element.)
-2 -1
0-1
O B. If A is the given matrix, then the augmented matrix
form of this matrix indicates that Ax = 0 has more than
linearly independent set.
1
2
1
1
O
5
- 10
- 20
A. If A is the given matrix, then the augmented matrix represents the equation Ax = 0. The reduced echelon
form of this matrix indicates that Ax=0 has only the trivial solution. Therefore, the columns of A form a
linearly independent set.
represents the equation Ax = 0. The reduced echelon
one solution. Therefore, the columns of A form a
O C. IfA is the given matrix, then the augmented matrix represents the equation Ax = 0. The reduced echelon
form of this matrix indicates that Ax = 0 has only the trivial solution. Therefore, the columns of A do not form
a linearly independent set.
OD. If A is the given matrix, then the augmented matrix represents the equation Ax = 0. The reduced echelon
form of this matrix indicates that Ax = 0 has more than one solution. Therefore, the columns of A do not form
a linearly independent set.
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