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.) -4 -3 0 - 1 1 1 2 1 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. 0 5 -5 - 10 OA. 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 form a linearly independent set. represents the equation Ax = 0. The reduced echelon one solution. Therefore, the columns of A do not form a OC. 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. D. If A is the given matrix, then the augmented matrix represents the equation Ax = 0. The reduced echelon

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section: Chapter Questions
Problem 21T
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Question
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.)
form of this matrix indicates that Ax = 0 has more than
independent set.
- 4
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.
O
1
2
- 3
- 1
1
1
OA. If A is the given matrix, then the augmented matrix represents the equation Ax = 0. The reduced echelon
one solution. Therefore, the columns of A form a linearly
0
5
-5
- 10
represents the equation Ax = 0. The reduced echelon
one solution. Therefore, the columns of A do not form a
represents the equation Ax = 0. The reduced echelon
C. If A is the given matrix, then the augmented matrix
form of this matrix indicates that Ax = 0 has only the trivial solution. Therefore, the columns of A form a linearly
independent set.
D. If A is the given matrix, then the augmented matrix
represents the equation Ax = 0. The reduced echelon
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.) form of this matrix indicates that Ax = 0 has more than independent set. - 4 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. O 1 2 - 3 - 1 1 1 OA. If A is the given matrix, then the augmented matrix represents the equation Ax = 0. The reduced echelon one solution. Therefore, the columns of A form a linearly 0 5 -5 - 10 represents the equation Ax = 0. The reduced echelon one solution. Therefore, the columns of A do not form a represents the equation Ax = 0. The reduced echelon C. If A is the given matrix, then the augmented matrix form of this matrix indicates that Ax = 0 has only the trivial solution. Therefore, the columns of A form a linearly independent set. D. If A is the given matrix, then the augmented matrix represents the equation Ax = 0. The reduced echelon
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